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Finding the Fourth Proportional to 2,451.72, 3,681.22 and 2,407.98

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Solution

The fourth proportional to 2,451.72, 3,681.22 and 2,407.98 is: 3,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.72 : 3,681.22 = 2,407.98 : x
  2. Step 2: Convert to fraction form
    2,451.72/3,681.22 = 2,407.98/x
  3. Step 3: Cross multiply
    2,451.72x = 3,681.22 × 2,407.98
  4. Step 4: Simplify right side
    2,451.72x = 8,864,304.14
  5. Step 5: Solve for x
    x = 8,864,304.14/2,451.72
  6. Step 6: Final answer
    x = 3,615.55

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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.