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Finding the Fourth Proportional to 2,359.17, 3,248.22 and 2,140.47

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Solution

The fourth proportional to 2,359.17, 3,248.22 and 2,140.47 is: 2,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.17 : 3,248.22 = 2,140.47 : x
  2. Step 2: Convert to fraction form
    2,359.17/3,248.22 = 2,140.47/x
  3. Step 3: Cross multiply
    2,359.17x = 3,248.22 × 2,140.47
  4. Step 4: Simplify right side
    2,359.17x = 6,952,717.46
  5. Step 5: Solve for x
    x = 6,952,717.46/2,359.17
  6. Step 6: Final answer
    x = 2,947.10

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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.