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Finding the Fourth Proportional to 2,342.52, 3,233.52 and 1,411.56

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Solution

The fourth proportional to 2,342.52, 3,233.52 and 1,411.56 is: 1,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.52 : 3,233.52 = 1,411.56 : x
  2. Step 2: Convert to fraction form
    2,342.52/3,233.52 = 1,411.56/x
  3. Step 3: Cross multiply
    2,342.52x = 3,233.52 × 1,411.56
  4. Step 4: Simplify right side
    2,342.52x = 4,564,307.49
  5. Step 5: Solve for x
    x = 4,564,307.49/2,342.52
  6. Step 6: Final answer
    x = 1,948.46

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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.