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Finding the Fourth Proportional to 3,146.55, 4,722.56 and 2,052.44

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Solution

The fourth proportional to 3,146.55, 4,722.56 and 2,052.44 is: 3,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.55 : 4,722.56 = 2,052.44 : x
  2. Step 2: Convert to fraction form
    3,146.55/4,722.56 = 2,052.44/x
  3. Step 3: Cross multiply
    3,146.55x = 4,722.56 × 2,052.44
  4. Step 4: Simplify right side
    3,146.55x = 9,692,737.17
  5. Step 5: Solve for x
    x = 9,692,737.17/3,146.55
  6. Step 6: Final answer
    x = 3,080.43

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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.