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Finding the Fourth Proportional to 2,165.78, 3,248.40 and 867.26

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Solution

The fourth proportional to 2,165.78, 3,248.40 and 867.26 is: 1,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.78 : 3,248.40 = 867.26 : x
  2. Step 2: Convert to fraction form
    2,165.78/3,248.40 = 867.26/x
  3. Step 3: Cross multiply
    2,165.78x = 3,248.40 × 867.26
  4. Step 4: Simplify right side
    2,165.78x = 2,817,207.38
  5. Step 5: Solve for x
    x = 2,817,207.38/2,165.78
  6. Step 6: Final answer
    x = 1,300.78

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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.