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Finding the Fourth Proportional to 2,508.42, 3,761.60 and 752.81

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Solution

The fourth proportional to 2,508.42, 3,761.60 and 752.81 is: 1,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.42 : 3,761.60 = 752.81 : x
  2. Step 2: Convert to fraction form
    2,508.42/3,761.60 = 752.81/x
  3. Step 3: Cross multiply
    2,508.42x = 3,761.60 × 752.81
  4. Step 4: Simplify right side
    2,508.42x = 2,831,770.10
  5. Step 5: Solve for x
    x = 2,831,770.10/2,508.42
  6. Step 6: Final answer
    x = 1,128.91

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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.