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Finding the Fourth Proportional to 2,470.42, 3,704.70 and 1,008.79

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Solution

The fourth proportional to 2,470.42, 3,704.70 and 1,008.79 is: 1,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.42 : 3,704.70 = 1,008.79 : x
  2. Step 2: Convert to fraction form
    2,470.42/3,704.70 = 1,008.79/x
  3. Step 3: Cross multiply
    2,470.42x = 3,704.70 × 1,008.79
  4. Step 4: Simplify right side
    2,470.42x = 3,737,264.31
  5. Step 5: Solve for x
    x = 3,737,264.31/2,470.42
  6. Step 6: Final answer
    x = 1,512.81

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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.