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Finding the Fourth Proportional to 2,498.20, 3,746.86 and 743.15

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Solution

The fourth proportional to 2,498.20, 3,746.86 and 743.15 is: 1,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.20 : 3,746.86 = 743.15 : x
  2. Step 2: Convert to fraction form
    2,498.20/3,746.86 = 743.15/x
  3. Step 3: Cross multiply
    2,498.20x = 3,746.86 × 743.15
  4. Step 4: Simplify right side
    2,498.20x = 2,784,486.52
  5. Step 5: Solve for x
    x = 2,784,486.52/2,498.20
  6. Step 6: Final answer
    x = 1,114.60

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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.