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Finding the Fourth Proportional to 2,531.93, 3,797.75 and 972.68

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Solution

The fourth proportional to 2,531.93, 3,797.75 and 972.68 is: 1,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.93 : 3,797.75 = 972.68 : x
  2. Step 2: Convert to fraction form
    2,531.93/3,797.75 = 972.68/x
  3. Step 3: Cross multiply
    2,531.93x = 3,797.75 × 972.68
  4. Step 4: Simplify right side
    2,531.93x = 3,693,990.61
  5. Step 5: Solve for x
    x = 3,693,990.61/2,531.93
  6. Step 6: Final answer
    x = 1,458.96

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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.