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Finding the Fourth Proportional to 1,537.96, 2,306.82 and 383.68

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Solution

The fourth proportional to 1,537.96, 2,306.82 and 383.68 is: 575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.96 : 2,306.82 = 383.68 : x
  2. Step 2: Convert to fraction form
    1,537.96/2,306.82 = 383.68/x
  3. Step 3: Cross multiply
    1,537.96x = 2,306.82 × 383.68
  4. Step 4: Simplify right side
    1,537.96x = 885,080.70
  5. Step 5: Solve for x
    x = 885,080.70/1,537.96
  6. Step 6: Final answer
    x = 575.49

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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.