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Finding the Fourth Proportional to 2,499.90, 3,742.65 and 2,240.70

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Solution

The fourth proportional to 2,499.90, 3,742.65 and 2,240.70 is: 3,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.90 : 3,742.65 = 2,240.70 : x
  2. Step 2: Convert to fraction form
    2,499.90/3,742.65 = 2,240.70/x
  3. Step 3: Cross multiply
    2,499.90x = 3,742.65 × 2,240.70
  4. Step 4: Simplify right side
    2,499.90x = 8,386,155.86
  5. Step 5: Solve for x
    x = 8,386,155.86/2,499.90
  6. Step 6: Final answer
    x = 3,354.60

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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.