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Finding the Fourth Proportional to 1,537.86, 2,306.76 and 383.62

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Solution

The fourth proportional to 1,537.86, 2,306.76 and 383.62 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.86 : 2,306.76 = 383.62 : x
  2. Step 2: Convert to fraction form
    1,537.86/2,306.76 = 383.62/x
  3. Step 3: Cross multiply
    1,537.86x = 2,306.76 × 383.62
  4. Step 4: Simplify right side
    1,537.86x = 884,919.27
  5. Step 5: Solve for x
    x = 884,919.27/1,537.86
  6. Step 6: Final answer
    x = 575.42

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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.