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Finding the Fourth Proportional to 1,538.78, 2,307.62 and 614.66

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Solution

The fourth proportional to 1,538.78, 2,307.62 and 614.66 is: 921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.78 : 2,307.62 = 614.66 : x
  2. Step 2: Convert to fraction form
    1,538.78/2,307.62 = 614.66/x
  3. Step 3: Cross multiply
    1,538.78x = 2,307.62 × 614.66
  4. Step 4: Simplify right side
    1,538.78x = 1,418,391.71
  5. Step 5: Solve for x
    x = 1,418,391.71/1,538.78
  6. Step 6: Final answer
    x = 921.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.