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Finding the Fourth Proportional to 2,113.31, 3,167.80 and 881.44

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Solution

The fourth proportional to 2,113.31, 3,167.80 and 881.44 is: 1,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.31 : 3,167.80 = 881.44 : x
  2. Step 2: Convert to fraction form
    2,113.31/3,167.80 = 881.44/x
  3. Step 3: Cross multiply
    2,113.31x = 3,167.80 × 881.44
  4. Step 4: Simplify right side
    2,113.31x = 2,792,215.51
  5. Step 5: Solve for x
    x = 2,792,215.51/2,113.31
  6. Step 6: Final answer
    x = 1,321.25

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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.