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Finding the Fourth Proportional to 2,081.17, 3,121.80 and 521.16

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Solution

The fourth proportional to 2,081.17, 3,121.80 and 521.16 is: 781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.17 : 3,121.80 = 521.16 : x
  2. Step 2: Convert to fraction form
    2,081.17/3,121.80 = 521.16/x
  3. Step 3: Cross multiply
    2,081.17x = 3,121.80 × 521.16
  4. Step 4: Simplify right side
    2,081.17x = 1,626,957.29
  5. Step 5: Solve for x
    x = 1,626,957.29/2,081.17
  6. Step 6: Final answer
    x = 781.75

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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.