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Finding the Fourth Proportional to 2,691.75, 4,037.64 and 1,152.75

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Solution

The fourth proportional to 2,691.75, 4,037.64 and 1,152.75 is: 1,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.75 : 4,037.64 = 1,152.75 : x
  2. Step 2: Convert to fraction form
    2,691.75/4,037.64 = 1,152.75/x
  3. Step 3: Cross multiply
    2,691.75x = 4,037.64 × 1,152.75
  4. Step 4: Simplify right side
    2,691.75x = 4,654,389.51
  5. Step 5: Solve for x
    x = 4,654,389.51/2,691.75
  6. Step 6: Final answer
    x = 1,729.13

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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.