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Finding the Fourth Proportional to 1,971.32, 2,720.39 and 1,087.11

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Solution

The fourth proportional to 1,971.32, 2,720.39 and 1,087.11 is: 1,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.32 : 2,720.39 = 1,087.11 : x
  2. Step 2: Convert to fraction form
    1,971.32/2,720.39 = 1,087.11/x
  3. Step 3: Cross multiply
    1,971.32x = 2,720.39 × 1,087.11
  4. Step 4: Simplify right side
    1,971.32x = 2,957,357.74
  5. Step 5: Solve for x
    x = 2,957,357.74/1,971.32
  6. Step 6: Final answer
    x = 1,500.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.