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Finding the Fourth Proportional to 3,402.61, 5,102.24 and 1,427.63

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Solution

The fourth proportional to 3,402.61, 5,102.24 and 1,427.63 is: 2,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.61 : 5,102.24 = 1,427.63 : x
  2. Step 2: Convert to fraction form
    3,402.61/5,102.24 = 1,427.63/x
  3. Step 3: Cross multiply
    3,402.61x = 5,102.24 × 1,427.63
  4. Step 4: Simplify right side
    3,402.61x = 7,284,086.27
  5. Step 5: Solve for x
    x = 7,284,086.27/3,402.61
  6. Step 6: Final answer
    x = 2,140.74

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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.