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Finding the Fourth Proportional to 1,213.80, 1,673.22 and 881.70

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Solution

The fourth proportional to 1,213.80, 1,673.22 and 881.70 is: 1,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.80 : 1,673.22 = 881.70 : x
  2. Step 2: Convert to fraction form
    1,213.80/1,673.22 = 881.70/x
  3. Step 3: Cross multiply
    1,213.80x = 1,673.22 × 881.70
  4. Step 4: Simplify right side
    1,213.80x = 1,475,278.07
  5. Step 5: Solve for x
    x = 1,475,278.07/1,213.80
  6. Step 6: Final answer
    x = 1,215.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.