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Finding the Fourth Proportional to 2,074.31, 3,110.45 and 687.18

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Solution

The fourth proportional to 2,074.31, 3,110.45 and 687.18 is: 1,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.31 : 3,110.45 = 687.18 : x
  2. Step 2: Convert to fraction form
    2,074.31/3,110.45 = 687.18/x
  3. Step 3: Cross multiply
    2,074.31x = 3,110.45 × 687.18
  4. Step 4: Simplify right side
    2,074.31x = 2,137,425.15
  5. Step 5: Solve for x
    x = 2,137,425.15/2,074.31
  6. Step 6: Final answer
    x = 1,030.43

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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.