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Finding the Fourth Proportional to 2,749.42, 4,123.26 and 900.11

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Solution

The fourth proportional to 2,749.42, 4,123.26 and 900.11 is: 1,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.42 : 4,123.26 = 900.11 : x
  2. Step 2: Convert to fraction form
    2,749.42/4,123.26 = 900.11/x
  3. Step 3: Cross multiply
    2,749.42x = 4,123.26 × 900.11
  4. Step 4: Simplify right side
    2,749.42x = 3,711,372.99
  5. Step 5: Solve for x
    x = 3,711,372.99/2,749.42
  6. Step 6: Final answer
    x = 1,349.88

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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.