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Finding the Fourth Proportional to 3,254.68, 4,491.30 and 1,857.16

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Solution

The fourth proportional to 3,254.68, 4,491.30 and 1,857.16 is: 2,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.68 : 4,491.30 = 1,857.16 : x
  2. Step 2: Convert to fraction form
    3,254.68/4,491.30 = 1,857.16/x
  3. Step 3: Cross multiply
    3,254.68x = 4,491.30 × 1,857.16
  4. Step 4: Simplify right side
    3,254.68x = 8,341,062.71
  5. Step 5: Solve for x
    x = 8,341,062.71/3,254.68
  6. Step 6: Final answer
    x = 2,562.79

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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.