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Finding the Fourth Proportional to 2,486.74, 3,730.59 and 731.74

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Solution

The fourth proportional to 2,486.74, 3,730.59 and 731.74 is: 1,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.74 : 3,730.59 = 731.74 : x
  2. Step 2: Convert to fraction form
    2,486.74/3,730.59 = 731.74/x
  3. Step 3: Cross multiply
    2,486.74x = 3,730.59 × 731.74
  4. Step 4: Simplify right side
    2,486.74x = 2,729,821.93
  5. Step 5: Solve for x
    x = 2,729,821.93/2,486.74
  6. Step 6: Final answer
    x = 1,097.75

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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.