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Finding the Fourth Proportional to 2,165.32, 3,248.79 and 867.70

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Solution

The fourth proportional to 2,165.32, 3,248.79 and 867.70 is: 1,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.32 : 3,248.79 = 867.70 : x
  2. Step 2: Convert to fraction form
    2,165.32/3,248.79 = 867.70/x
  3. Step 3: Cross multiply
    2,165.32x = 3,248.79 × 867.70
  4. Step 4: Simplify right side
    2,165.32x = 2,818,975.08
  5. Step 5: Solve for x
    x = 2,818,975.08/2,165.32
  6. Step 6: Final answer
    x = 1,301.87

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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.