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Finding the Fourth Proportional to 1,844.40, 2,768.22 and 748.74

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Solution

The fourth proportional to 1,844.40, 2,768.22 and 748.74 is: 1,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.40 : 2,768.22 = 748.74 : x
  2. Step 2: Convert to fraction form
    1,844.40/2,768.22 = 748.74/x
  3. Step 3: Cross multiply
    1,844.40x = 2,768.22 × 748.74
  4. Step 4: Simplify right side
    1,844.40x = 2,072,677.04
  5. Step 5: Solve for x
    x = 2,072,677.04/1,844.40
  6. Step 6: Final answer
    x = 1,123.77

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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.