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Finding the Fourth Proportional to 1,966.66, 2,713.62 and 1,220.80

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Solution

The fourth proportional to 1,966.66, 2,713.62 and 1,220.80 is: 1,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.66 : 2,713.62 = 1,220.80 : x
  2. Step 2: Convert to fraction form
    1,966.66/2,713.62 = 1,220.80/x
  3. Step 3: Cross multiply
    1,966.66x = 2,713.62 × 1,220.80
  4. Step 4: Simplify right side
    1,966.66x = 3,312,787.30
  5. Step 5: Solve for x
    x = 3,312,787.30/1,966.66
  6. Step 6: Final answer
    x = 1,684.47

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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.