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Finding the Fourth Proportional to 2,531.68, 3,797.37 and 972.43

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Solution

The fourth proportional to 2,531.68, 3,797.37 and 972.43 is: 1,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.68 : 3,797.37 = 972.43 : x
  2. Step 2: Convert to fraction form
    2,531.68/3,797.37 = 972.43/x
  3. Step 3: Cross multiply
    2,531.68x = 3,797.37 × 972.43
  4. Step 4: Simplify right side
    2,531.68x = 3,692,676.51
  5. Step 5: Solve for x
    x = 3,692,676.51/2,531.68
  6. Step 6: Final answer
    x = 1,458.59

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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.