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Finding the Fourth Proportional to 3,414.59, 4,712.54 and 2,088.48

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Solution

The fourth proportional to 3,414.59, 4,712.54 and 2,088.48 is: 2,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.59 : 4,712.54 = 2,088.48 : x
  2. Step 2: Convert to fraction form
    3,414.59/4,712.54 = 2,088.48/x
  3. Step 3: Cross multiply
    3,414.59x = 4,712.54 × 2,088.48
  4. Step 4: Simplify right side
    3,414.59x = 9,842,045.54
  5. Step 5: Solve for x
    x = 9,842,045.54/3,414.59
  6. Step 6: Final answer
    x = 2,882.35

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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.