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Finding the Fourth Proportional to 2,359.67, 3,248.91 and 2,140.97

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Solution

The fourth proportional to 2,359.67, 3,248.91 and 2,140.97 is: 2,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.67 : 3,248.91 = 2,140.97 : x
  2. Step 2: Convert to fraction form
    2,359.67/3,248.91 = 2,140.97/x
  3. Step 3: Cross multiply
    2,359.67x = 3,248.91 × 2,140.97
  4. Step 4: Simplify right side
    2,359.67x = 6,955,818.84
  5. Step 5: Solve for x
    x = 6,955,818.84/2,359.67
  6. Step 6: Final answer
    x = 2,947.79

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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.