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Finding the Fourth Proportional to 2,691.74, 4,037.61 and 1,230.50

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Solution

The fourth proportional to 2,691.74, 4,037.61 and 1,230.50 is: 1,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.74 : 4,037.61 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    2,691.74/4,037.61 = 1,230.50/x
  3. Step 3: Cross multiply
    2,691.74x = 4,037.61 × 1,230.50
  4. Step 4: Simplify right side
    2,691.74x = 4,968,279.11
  5. Step 5: Solve for x
    x = 4,968,279.11/2,691.74
  6. Step 6: Final answer
    x = 1,845.75

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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.