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Finding the Fourth Proportional to 1,809.68, 2,497.02 and 1,146.76

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Solution

The fourth proportional to 1,809.68, 2,497.02 and 1,146.76 is: 1,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.68 : 2,497.02 = 1,146.76 : x
  2. Step 2: Convert to fraction form
    1,809.68/2,497.02 = 1,146.76/x
  3. Step 3: Cross multiply
    1,809.68x = 2,497.02 × 1,146.76
  4. Step 4: Simplify right side
    1,809.68x = 2,863,476.41
  5. Step 5: Solve for x
    x = 2,863,476.41/1,809.68
  6. Step 6: Final answer
    x = 1,582.31

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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.