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Finding the Fourth Proportional to 2,165.34, 3,248.10 and 931.90

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Solution

The fourth proportional to 2,165.34, 3,248.10 and 931.90 is: 1,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.34 : 3,248.10 = 931.90 : x
  2. Step 2: Convert to fraction form
    2,165.34/3,248.10 = 931.90/x
  3. Step 3: Cross multiply
    2,165.34x = 3,248.10 × 931.90
  4. Step 4: Simplify right side
    2,165.34x = 3,026,904.39
  5. Step 5: Solve for x
    x = 3,026,904.39/2,165.34
  6. Step 6: Final answer
    x = 1,397.89

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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.