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Finding the Fourth Proportional to 1,496.86, 2,239.82 and 880.85

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Solution

The fourth proportional to 1,496.86, 2,239.82 and 880.85 is: 1,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.86 : 2,239.82 = 880.85 : x
  2. Step 2: Convert to fraction form
    1,496.86/2,239.82 = 880.85/x
  3. Step 3: Cross multiply
    1,496.86x = 2,239.82 × 880.85
  4. Step 4: Simplify right side
    1,496.86x = 1,972,949.95
  5. Step 5: Solve for x
    x = 1,972,949.95/1,496.86
  6. Step 6: Final answer
    x = 1,318.06

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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.