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Finding the Fourth Proportional to 3,102.48, 4,655.44 and 2,867.38

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Solution

The fourth proportional to 3,102.48, 4,655.44 and 2,867.38 is: 4,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.48 : 4,655.44 = 2,867.38 : x
  2. Step 2: Convert to fraction form
    3,102.48/4,655.44 = 2,867.38/x
  3. Step 3: Cross multiply
    3,102.48x = 4,655.44 × 2,867.38
  4. Step 4: Simplify right side
    3,102.48x = 13,348,915.55
  5. Step 5: Solve for x
    x = 13,348,915.55/3,102.48
  6. Step 6: Final answer
    x = 4,302.66

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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.