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Finding the Fourth Proportional to 2,740.32, 4,108.32 and 2,165.76

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Solution

The fourth proportional to 2,740.32, 4,108.32 and 2,165.76 is: 3,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.32 : 4,108.32 = 2,165.76 : x
  2. Step 2: Convert to fraction form
    2,740.32/4,108.32 = 2,165.76/x
  3. Step 3: Cross multiply
    2,740.32x = 4,108.32 × 2,165.76
  4. Step 4: Simplify right side
    2,740.32x = 8,897,635.12
  5. Step 5: Solve for x
    x = 8,897,635.12/2,740.32
  6. Step 6: Final answer
    x = 3,246.93

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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.