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Finding the Fourth Proportional to 2,152.95, 3,229.72 and 691.75

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Solution

The fourth proportional to 2,152.95, 3,229.72 and 691.75 is: 1,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.95 : 3,229.72 = 691.75 : x
  2. Step 2: Convert to fraction form
    2,152.95/3,229.72 = 691.75/x
  3. Step 3: Cross multiply
    2,152.95x = 3,229.72 × 691.75
  4. Step 4: Simplify right side
    2,152.95x = 2,234,158.81
  5. Step 5: Solve for x
    x = 2,234,158.81/2,152.95
  6. Step 6: Final answer
    x = 1,037.72

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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.