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Finding the Fourth Proportional to 2,472.62, 3,704.02 and 1,300.85

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Solution

The fourth proportional to 2,472.62, 3,704.02 and 1,300.85 is: 1,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.62 : 3,704.02 = 1,300.85 : x
  2. Step 2: Convert to fraction form
    2,472.62/3,704.02 = 1,300.85/x
  3. Step 3: Cross multiply
    2,472.62x = 3,704.02 × 1,300.85
  4. Step 4: Simplify right side
    2,472.62x = 4,818,374.42
  5. Step 5: Solve for x
    x = 4,818,374.42/2,472.62
  6. Step 6: Final answer
    x = 1,948.69

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