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Finding the Fourth Proportional to 2,102.31, 2,901.22 and 1,170.81

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Solution

The fourth proportional to 2,102.31, 2,901.22 and 1,170.81 is: 1,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.31 : 2,901.22 = 1,170.81 : x
  2. Step 2: Convert to fraction form
    2,102.31/2,901.22 = 1,170.81/x
  3. Step 3: Cross multiply
    2,102.31x = 2,901.22 × 1,170.81
  4. Step 4: Simplify right side
    2,102.31x = 3,396,774.46
  5. Step 5: Solve for x
    x = 3,396,774.46/2,102.31
  6. Step 6: Final answer
    x = 1,615.73

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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.