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Finding the Fourth Proportional to 2,468.90, 3,407.00 and 1,349.85

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Solution

The fourth proportional to 2,468.90, 3,407.00 and 1,349.85 is: 1,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.90 : 3,407.00 = 1,349.85 : x
  2. Step 2: Convert to fraction form
    2,468.90/3,407.00 = 1,349.85/x
  3. Step 3: Cross multiply
    2,468.90x = 3,407.00 × 1,349.85
  4. Step 4: Simplify right side
    2,468.90x = 4,598,932.20
  5. Step 5: Solve for x
    x = 4,598,932.20/2,468.90
  6. Step 6: Final answer
    x = 1,862.75

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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.