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Finding the Fourth Proportional to 1,456.83, 2,010.85 and 867.76

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Solution

The fourth proportional to 1,456.83, 2,010.85 and 867.76 is: 1,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.83 : 2,010.85 = 867.76 : x
  2. Step 2: Convert to fraction form
    1,456.83/2,010.85 = 867.76/x
  3. Step 3: Cross multiply
    1,456.83x = 2,010.85 × 867.76
  4. Step 4: Simplify right side
    1,456.83x = 1,744,935.20
  5. Step 5: Solve for x
    x = 1,744,935.20/1,456.83
  6. Step 6: Final answer
    x = 1,197.76

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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.