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Finding the Fourth Proportional to 2,809.39, 3,877.13 and 1,614.76

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Solution

The fourth proportional to 2,809.39, 3,877.13 and 1,614.76 is: 2,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.39 : 3,877.13 = 1,614.76 : x
  2. Step 2: Convert to fraction form
    2,809.39/3,877.13 = 1,614.76/x
  3. Step 3: Cross multiply
    2,809.39x = 3,877.13 × 1,614.76
  4. Step 4: Simplify right side
    2,809.39x = 6,260,634.44
  5. Step 5: Solve for x
    x = 6,260,634.44/2,809.39
  6. Step 6: Final answer
    x = 2,228.47

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.