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Finding the Fourth Proportional to 1,688, 2,329.68 and 1,614.20

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Solution

The fourth proportional to 1,688, 2,329.68 and 1,614.20 is: 2,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688 : 2,329.68 = 1,614.20 : x
  2. Step 2: Convert to fraction form
    1,688/2,329.68 = 1,614.20/x
  3. Step 3: Cross multiply
    1,688x = 2,329.68 × 1,614.20
  4. Step 4: Simplify right side
    1,688x = 3,760,569.46
  5. Step 5: Solve for x
    x = 3,760,569.46/1,688
  6. Step 6: Final answer
    x = 2,227.83

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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.