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Finding the Fourth Proportional to 2,342.72, 3,513.12 and 1,043.30

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Solution

The fourth proportional to 2,342.72, 3,513.12 and 1,043.30 is: 1,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.72 : 3,513.12 = 1,043.30 : x
  2. Step 2: Convert to fraction form
    2,342.72/3,513.12 = 1,043.30/x
  3. Step 3: Cross multiply
    2,342.72x = 3,513.12 × 1,043.30
  4. Step 4: Simplify right side
    2,342.72x = 3,665,238.10
  5. Step 5: Solve for x
    x = 3,665,238.10/2,342.72
  6. Step 6: Final answer
    x = 1,564.52

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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.