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Finding the Fourth Proportional to 1,951.74, 2,923.74 and 1,025.92

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Solution

The fourth proportional to 1,951.74, 2,923.74 and 1,025.92 is: 1,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.74 : 2,923.74 = 1,025.92 : x
  2. Step 2: Convert to fraction form
    1,951.74/2,923.74 = 1,025.92/x
  3. Step 3: Cross multiply
    1,951.74x = 2,923.74 × 1,025.92
  4. Step 4: Simplify right side
    1,951.74x = 2,999,523.34
  5. Step 5: Solve for x
    x = 2,999,523.34/1,951.74
  6. Step 6: Final answer
    x = 1,536.85

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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.