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Finding the Fourth Proportional to 2,494.17, 3,742.02 and 1,260.90

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Solution

The fourth proportional to 2,494.17, 3,742.02 and 1,260.90 is: 1,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.17 : 3,742.02 = 1,260.90 : x
  2. Step 2: Convert to fraction form
    2,494.17/3,742.02 = 1,260.90/x
  3. Step 3: Cross multiply
    2,494.17x = 3,742.02 × 1,260.90
  4. Step 4: Simplify right side
    2,494.17x = 4,718,313.02
  5. Step 5: Solve for x
    x = 4,718,313.02/2,494.17
  6. Step 6: Final answer
    x = 1,891.74

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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.