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Finding the Fourth Proportional to 3,113.80, 4,294.85 and 2,117.39

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Solution

The fourth proportional to 3,113.80, 4,294.85 and 2,117.39 is: 2,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.80 : 4,294.85 = 2,117.39 : x
  2. Step 2: Convert to fraction form
    3,113.80/4,294.85 = 2,117.39/x
  3. Step 3: Cross multiply
    3,113.80x = 4,294.85 × 2,117.39
  4. Step 4: Simplify right side
    3,113.80x = 9,093,840.38
  5. Step 5: Solve for x
    x = 9,093,840.38/3,113.80
  6. Step 6: Final answer
    x = 2,920.50

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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.