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Finding the Fourth Proportional to 1,220.19, 1,839.40 and 1,116.40

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Solution

The fourth proportional to 1,220.19, 1,839.40 and 1,116.40 is: 1,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.19 : 1,839.40 = 1,116.40 : x
  2. Step 2: Convert to fraction form
    1,220.19/1,839.40 = 1,116.40/x
  3. Step 3: Cross multiply
    1,220.19x = 1,839.40 × 1,116.40
  4. Step 4: Simplify right side
    1,220.19x = 2,053,506.16
  5. Step 5: Solve for x
    x = 2,053,506.16/1,220.19
  6. Step 6: Final answer
    x = 1,682.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.