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Finding the Fourth Proportional to 3,146.72, 4,343.65 and 2,363.03

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Solution

The fourth proportional to 3,146.72, 4,343.65 and 2,363.03 is: 3,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.72 : 4,343.65 = 2,363.03 : x
  2. Step 2: Convert to fraction form
    3,146.72/4,343.65 = 2,363.03/x
  3. Step 3: Cross multiply
    3,146.72x = 4,343.65 × 2,363.03
  4. Step 4: Simplify right side
    3,146.72x = 10,264,147.63
  5. Step 5: Solve for x
    x = 10,264,147.63/3,146.72
  6. Step 6: Final answer
    x = 3,261.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.