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Finding the Fourth Proportional to 2,116.87, 2,921.44 and 1,220.88

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Solution

The fourth proportional to 2,116.87, 2,921.44 and 1,220.88 is: 1,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.87 : 2,921.44 = 1,220.88 : x
  2. Step 2: Convert to fraction form
    2,116.87/2,921.44 = 1,220.88/x
  3. Step 3: Cross multiply
    2,116.87x = 2,921.44 × 1,220.88
  4. Step 4: Simplify right side
    2,116.87x = 3,566,727.67
  5. Step 5: Solve for x
    x = 3,566,727.67/2,116.87
  6. Step 6: Final answer
    x = 1,684.91

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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.