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Finding the Fourth Proportional to 1,845.38, 2,768.08 and 749.46

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Solution

The fourth proportional to 1,845.38, 2,768.08 and 749.46 is: 1,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.38 : 2,768.08 = 749.46 : x
  2. Step 2: Convert to fraction form
    1,845.38/2,768.08 = 749.46/x
  3. Step 3: Cross multiply
    1,845.38x = 2,768.08 × 749.46
  4. Step 4: Simplify right side
    1,845.38x = 2,074,565.24
  5. Step 5: Solve for x
    x = 2,074,565.24/1,845.38
  6. Step 6: Final answer
    x = 1,124.19

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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.