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Finding the Fourth Proportional to 2,248.92, 3,368.12 and 2,171.05

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Solution

The fourth proportional to 2,248.92, 3,368.12 and 2,171.05 is: 3,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.92 : 3,368.12 = 2,171.05 : x
  2. Step 2: Convert to fraction form
    2,248.92/3,368.12 = 2,171.05/x
  3. Step 3: Cross multiply
    2,248.92x = 3,368.12 × 2,171.05
  4. Step 4: Simplify right side
    2,248.92x = 7,312,356.93
  5. Step 5: Solve for x
    x = 7,312,356.93/2,248.92
  6. Step 6: Final answer
    x = 3,251.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.