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Finding the Fourth Proportional to 1,229.85, 1,853.04 and 1,097.21

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Solution

The fourth proportional to 1,229.85, 1,853.04 and 1,097.21 is: 1,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.85 : 1,853.04 = 1,097.21 : x
  2. Step 2: Convert to fraction form
    1,229.85/1,853.04 = 1,097.21/x
  3. Step 3: Cross multiply
    1,229.85x = 1,853.04 × 1,097.21
  4. Step 4: Simplify right side
    1,229.85x = 2,033,164.75
  5. Step 5: Solve for x
    x = 2,033,164.75/1,229.85
  6. Step 6: Final answer
    x = 1,653.18

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Why These Related Problems?

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