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Finding the Fourth Proportional to 2,152.81, 3,229.71 and 691.96

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Solution

The fourth proportional to 2,152.81, 3,229.71 and 691.96 is: 1,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.81 : 3,229.71 = 691.96 : x
  2. Step 2: Convert to fraction form
    2,152.81/3,229.71 = 691.96/x
  3. Step 3: Cross multiply
    2,152.81x = 3,229.71 × 691.96
  4. Step 4: Simplify right side
    2,152.81x = 2,234,830.13
  5. Step 5: Solve for x
    x = 2,234,830.13/2,152.81
  6. Step 6: Final answer
    x = 1,038.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.