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Finding the Fourth Proportional to 2,088.70, 3,132.75 and 701.98

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Solution

The fourth proportional to 2,088.70, 3,132.75 and 701.98 is: 1,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.70 : 3,132.75 = 701.98 : x
  2. Step 2: Convert to fraction form
    2,088.70/3,132.75 = 701.98/x
  3. Step 3: Cross multiply
    2,088.70x = 3,132.75 × 701.98
  4. Step 4: Simplify right side
    2,088.70x = 2,199,127.85
  5. Step 5: Solve for x
    x = 2,199,127.85/2,088.70
  6. Step 6: Final answer
    x = 1,052.87

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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.