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Finding the Fourth Proportional to 2,342.71, 3,511.63 and 1,248.40

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Solution

The fourth proportional to 2,342.71, 3,511.63 and 1,248.40 is: 1,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.71 : 3,511.63 = 1,248.40 : x
  2. Step 2: Convert to fraction form
    2,342.71/3,511.63 = 1,248.40/x
  3. Step 3: Cross multiply
    2,342.71x = 3,511.63 × 1,248.40
  4. Step 4: Simplify right side
    2,342.71x = 4,383,918.89
  5. Step 5: Solve for x
    x = 4,383,918.89/2,342.71
  6. Step 6: Final answer
    x = 1,871.30

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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.