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Finding the Fourth Proportional to 2,138.38, 2,951.16 and 1,690.85

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Solution

The fourth proportional to 2,138.38, 2,951.16 and 1,690.85 is: 2,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.38 : 2,951.16 = 1,690.85 : x
  2. Step 2: Convert to fraction form
    2,138.38/2,951.16 = 1,690.85/x
  3. Step 3: Cross multiply
    2,138.38x = 2,951.16 × 1,690.85
  4. Step 4: Simplify right side
    2,138.38x = 4,989,968.89
  5. Step 5: Solve for x
    x = 4,989,968.89/2,138.38
  6. Step 6: Final answer
    x = 2,333.53

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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.