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Finding the Fourth Proportional to 2,342.61, 3,512.97 and 1,043.19

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Solution

The fourth proportional to 2,342.61, 3,512.97 and 1,043.19 is: 1,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.61 : 3,512.97 = 1,043.19 : x
  2. Step 2: Convert to fraction form
    2,342.61/3,512.97 = 1,043.19/x
  3. Step 3: Cross multiply
    2,342.61x = 3,512.97 × 1,043.19
  4. Step 4: Simplify right side
    2,342.61x = 3,664,695.17
  5. Step 5: Solve for x
    x = 3,664,695.17/2,342.61
  6. Step 6: Final answer
    x = 1,564.36

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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.