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Finding the Fourth Proportional to 2,437.90, 3,650.75 and 1,951.90

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Solution

The fourth proportional to 2,437.90, 3,650.75 and 1,951.90 is: 2,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.90 : 3,650.75 = 1,951.90 : x
  2. Step 2: Convert to fraction form
    2,437.90/3,650.75 = 1,951.90/x
  3. Step 3: Cross multiply
    2,437.90x = 3,650.75 × 1,951.90
  4. Step 4: Simplify right side
    2,437.90x = 7,125,898.93
  5. Step 5: Solve for x
    x = 7,125,898.93/2,437.90
  6. Step 6: Final answer
    x = 2,922.97

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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.