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Finding the Fourth Proportional to 2,520.47, 3,763.72 and 2,059.16

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Solution

The fourth proportional to 2,520.47, 3,763.72 and 2,059.16 is: 3,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.47 : 3,763.72 = 2,059.16 : x
  2. Step 2: Convert to fraction form
    2,520.47/3,763.72 = 2,059.16/x
  3. Step 3: Cross multiply
    2,520.47x = 3,763.72 × 2,059.16
  4. Step 4: Simplify right side
    2,520.47x = 7,750,101.68
  5. Step 5: Solve for x
    x = 7,750,101.68/2,520.47
  6. Step 6: Final answer
    x = 3,074.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.