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Finding the Fourth Proportional to 1,844.24, 2,767.37 and 748.67

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Solution

The fourth proportional to 1,844.24, 2,767.37 and 748.67 is: 1,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.24 : 2,767.37 = 748.67 : x
  2. Step 2: Convert to fraction form
    1,844.24/2,767.37 = 748.67/x
  3. Step 3: Cross multiply
    1,844.24x = 2,767.37 × 748.67
  4. Step 4: Simplify right side
    1,844.24x = 2,071,829.32
  5. Step 5: Solve for x
    x = 2,071,829.32/1,844.24
  6. Step 6: Final answer
    x = 1,123.41

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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.