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Finding the Fourth Proportional to 2,517.59, 3,473.07 and 1,469

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Solution

The fourth proportional to 2,517.59, 3,473.07 and 1,469 is: 2,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.59 : 3,473.07 = 1,469 : x
  2. Step 2: Convert to fraction form
    2,517.59/3,473.07 = 1,469/x
  3. Step 3: Cross multiply
    2,517.59x = 3,473.07 × 1,469
  4. Step 4: Simplify right side
    2,517.59x = 5,101,939.83
  5. Step 5: Solve for x
    x = 5,101,939.83/2,517.59
  6. Step 6: Final answer
    x = 2,026.52

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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.