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Finding the Fourth Proportional to 2,749.59, 4,123.92 and 900.66

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Solution

The fourth proportional to 2,749.59, 4,123.92 and 900.66 is: 1,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.59 : 4,123.92 = 900.66 : x
  2. Step 2: Convert to fraction form
    2,749.59/4,123.92 = 900.66/x
  3. Step 3: Cross multiply
    2,749.59x = 4,123.92 × 900.66
  4. Step 4: Simplify right side
    2,749.59x = 3,714,249.79
  5. Step 5: Solve for x
    x = 3,714,249.79/2,749.59
  6. Step 6: Final answer
    x = 1,350.84

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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.