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Finding the Fourth Proportional to 2,152.17, 3,227.95 and 691.13

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Solution

The fourth proportional to 2,152.17, 3,227.95 and 691.13 is: 1,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.17 : 3,227.95 = 691.13 : x
  2. Step 2: Convert to fraction form
    2,152.17/3,227.95 = 691.13/x
  3. Step 3: Cross multiply
    2,152.17x = 3,227.95 × 691.13
  4. Step 4: Simplify right side
    2,152.17x = 2,230,939.43
  5. Step 5: Solve for x
    x = 2,230,939.43/2,152.17
  6. Step 6: Final answer
    x = 1,036.60

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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.