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Finding the Fourth Proportional to 2,451.71, 3,681.21 and 2,407.97

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Solution

The fourth proportional to 2,451.71, 3,681.21 and 2,407.97 is: 3,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.71 : 3,681.21 = 2,407.97 : x
  2. Step 2: Convert to fraction form
    2,451.71/3,681.21 = 2,407.97/x
  3. Step 3: Cross multiply
    2,451.71x = 3,681.21 × 2,407.97
  4. Step 4: Simplify right side
    2,451.71x = 8,864,243.24
  5. Step 5: Solve for x
    x = 8,864,243.24/2,451.71
  6. Step 6: Final answer
    x = 3,615.53

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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.