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Finding the Fourth Proportional to 2,531.01, 3,797.57 and 1,215.47

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Solution

The fourth proportional to 2,531.01, 3,797.57 and 1,215.47 is: 1,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.01 : 3,797.57 = 1,215.47 : x
  2. Step 2: Convert to fraction form
    2,531.01/3,797.57 = 1,215.47/x
  3. Step 3: Cross multiply
    2,531.01x = 3,797.57 × 1,215.47
  4. Step 4: Simplify right side
    2,531.01x = 4,615,832.41
  5. Step 5: Solve for x
    x = 4,615,832.41/2,531.01
  6. Step 6: Final answer
    x = 1,823.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.