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Finding the Fourth Proportional to 2,219.84, 3,061.92 and 1,287.68

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Solution

The fourth proportional to 2,219.84, 3,061.92 and 1,287.68 is: 1,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.84 : 3,061.92 = 1,287.68 : x
  2. Step 2: Convert to fraction form
    2,219.84/3,061.92 = 1,287.68/x
  3. Step 3: Cross multiply
    2,219.84x = 3,061.92 × 1,287.68
  4. Step 4: Simplify right side
    2,219.84x = 3,942,773.15
  5. Step 5: Solve for x
    x = 3,942,773.15/2,219.84
  6. Step 6: Final answer
    x = 1,776.15

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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.