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Finding the Fourth Proportional to 1,614.75, 2,228.36 and 916.17

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Solution

The fourth proportional to 1,614.75, 2,228.36 and 916.17 is: 1,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.75 : 2,228.36 = 916.17 : x
  2. Step 2: Convert to fraction form
    1,614.75/2,228.36 = 916.17/x
  3. Step 3: Cross multiply
    1,614.75x = 2,228.36 × 916.17
  4. Step 4: Simplify right side
    1,614.75x = 2,041,556.58
  5. Step 5: Solve for x
    x = 2,041,556.58/1,614.75
  6. Step 6: Final answer
    x = 1,264.32

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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.