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Finding the Fourth Proportional to 2,923.70, 4,034.70 and 1,744.77

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Solution

The fourth proportional to 2,923.70, 4,034.70 and 1,744.77 is: 2,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.70 : 4,034.70 = 1,744.77 : x
  2. Step 2: Convert to fraction form
    2,923.70/4,034.70 = 1,744.77/x
  3. Step 3: Cross multiply
    2,923.70x = 4,034.70 × 1,744.77
  4. Step 4: Simplify right side
    2,923.70x = 7,039,623.52
  5. Step 5: Solve for x
    x = 7,039,623.52/2,923.70
  6. Step 6: Final answer
    x = 2,407.78

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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.