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Finding the Fourth Proportional to 2,087.72, 3,131.93 and 701.18

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Solution

The fourth proportional to 2,087.72, 3,131.93 and 701.18 is: 1,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.72 : 3,131.93 = 701.18 : x
  2. Step 2: Convert to fraction form
    2,087.72/3,131.93 = 701.18/x
  3. Step 3: Cross multiply
    2,087.72x = 3,131.93 × 701.18
  4. Step 4: Simplify right side
    2,087.72x = 2,196,062.13
  5. Step 5: Solve for x
    x = 2,196,062.13/2,087.72
  6. Step 6: Final answer
    x = 1,051.90

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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.