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Finding the Fourth Proportional to 1,920.85, 2,876.13 and 1,097.98

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Solution

The fourth proportional to 1,920.85, 2,876.13 and 1,097.98 is: 1,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.85 : 2,876.13 = 1,097.98 : x
  2. Step 2: Convert to fraction form
    1,920.85/2,876.13 = 1,097.98/x
  3. Step 3: Cross multiply
    1,920.85x = 2,876.13 × 1,097.98
  4. Step 4: Simplify right side
    1,920.85x = 3,157,926.03
  5. Step 5: Solve for x
    x = 3,157,926.03/1,920.85
  6. Step 6: Final answer
    x = 1,644.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.