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Finding the Fourth Proportional to 3,265.64, 4,502.34 and 2,084.66

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Solution

The fourth proportional to 3,265.64, 4,502.34 and 2,084.66 is: 2,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.64 : 4,502.34 = 2,084.66 : x
  2. Step 2: Convert to fraction form
    3,265.64/4,502.34 = 2,084.66/x
  3. Step 3: Cross multiply
    3,265.64x = 4,502.34 × 2,084.66
  4. Step 4: Simplify right side
    3,265.64x = 9,385,848.10
  5. Step 5: Solve for x
    x = 9,385,848.10/3,265.64
  6. Step 6: Final answer
    x = 2,874.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.