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Finding the Fourth Proportional to 1,456.98, 2,010.72 and 867.43

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Solution

The fourth proportional to 1,456.98, 2,010.72 and 867.43 is: 1,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.98 : 2,010.72 = 867.43 : x
  2. Step 2: Convert to fraction form
    1,456.98/2,010.72 = 867.43/x
  3. Step 3: Cross multiply
    1,456.98x = 2,010.72 × 867.43
  4. Step 4: Simplify right side
    1,456.98x = 1,744,158.85
  5. Step 5: Solve for x
    x = 1,744,158.85/1,456.98
  6. Step 6: Final answer
    x = 1,197.11

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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.