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Finding the Fourth Proportional to 2,470.96, 3,704.28 and 1,237.12

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Solution

The fourth proportional to 2,470.96, 3,704.28 and 1,237.12 is: 1,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.96 : 3,704.28 = 1,237.12 : x
  2. Step 2: Convert to fraction form
    2,470.96/3,704.28 = 1,237.12/x
  3. Step 3: Cross multiply
    2,470.96x = 3,704.28 × 1,237.12
  4. Step 4: Simplify right side
    2,470.96x = 4,582,638.87
  5. Step 5: Solve for x
    x = 4,582,638.87/2,470.96
  6. Step 6: Final answer
    x = 1,854.60

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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.