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Finding the Fourth Proportional to 2,088.44, 3,132.72 and 701.83

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Solution

The fourth proportional to 2,088.44, 3,132.72 and 701.83 is: 1,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.44 : 3,132.72 = 701.83 : x
  2. Step 2: Convert to fraction form
    2,088.44/3,132.72 = 701.83/x
  3. Step 3: Cross multiply
    2,088.44x = 3,132.72 × 701.83
  4. Step 4: Simplify right side
    2,088.44x = 2,198,617.70
  5. Step 5: Solve for x
    x = 2,198,617.70/2,088.44
  6. Step 6: Final answer
    x = 1,052.76

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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.