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Finding the Fourth Proportional to 2,001.60, 2,760.57 and 1,254.15

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Solution

The fourth proportional to 2,001.60, 2,760.57 and 1,254.15 is: 1,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.60 : 2,760.57 = 1,254.15 : x
  2. Step 2: Convert to fraction form
    2,001.60/2,760.57 = 1,254.15/x
  3. Step 3: Cross multiply
    2,001.60x = 2,760.57 × 1,254.15
  4. Step 4: Simplify right side
    2,001.60x = 3,462,168.87
  5. Step 5: Solve for x
    x = 3,462,168.87/2,001.60
  6. Step 6: Final answer
    x = 1,729.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.