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Finding the Fourth Proportional to 3,073.24, 4,610.94 and 1,342

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Solution

The fourth proportional to 3,073.24, 4,610.94 and 1,342 is: 2,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.24 : 4,610.94 = 1,342 : x
  2. Step 2: Convert to fraction form
    3,073.24/4,610.94 = 1,342/x
  3. Step 3: Cross multiply
    3,073.24x = 4,610.94 × 1,342
  4. Step 4: Simplify right side
    3,073.24x = 6,187,881.48
  5. Step 5: Solve for x
    x = 6,187,881.48/3,073.24
  6. Step 6: Final answer
    x = 2,013.47

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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.