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Finding the Fourth Proportional to 1,537.68, 2,306.52 and 383.43

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Solution

The fourth proportional to 1,537.68, 2,306.52 and 383.43 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.68 : 2,306.52 = 383.43 : x
  2. Step 2: Convert to fraction form
    1,537.68/2,306.52 = 383.43/x
  3. Step 3: Cross multiply
    1,537.68x = 2,306.52 × 383.43
  4. Step 4: Simplify right side
    1,537.68x = 884,377.43
  5. Step 5: Solve for x
    x = 884,377.43/1,537.68
  6. Step 6: Final answer
    x = 575.14

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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.