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Finding the Fourth Proportional to 1,481.69, 2,220.95 and 787.66

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Solution

The fourth proportional to 1,481.69, 2,220.95 and 787.66 is: 1,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.69 : 2,220.95 = 787.66 : x
  2. Step 2: Convert to fraction form
    1,481.69/2,220.95 = 787.66/x
  3. Step 3: Cross multiply
    1,481.69x = 2,220.95 × 787.66
  4. Step 4: Simplify right side
    1,481.69x = 1,749,355.09
  5. Step 5: Solve for x
    x = 1,749,355.09/1,481.69
  6. Step 6: Final answer
    x = 1,180.65

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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.