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Finding the Fourth Proportional to 2,774.38, 3,828.64 and 1,532.46

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Solution

The fourth proportional to 2,774.38, 3,828.64 and 1,532.46 is: 2,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.38 : 3,828.64 = 1,532.46 : x
  2. Step 2: Convert to fraction form
    2,774.38/3,828.64 = 1,532.46/x
  3. Step 3: Cross multiply
    2,774.38x = 3,828.64 × 1,532.46
  4. Step 4: Simplify right side
    2,774.38x = 5,867,214.68
  5. Step 5: Solve for x
    x = 5,867,214.68/2,774.38
  6. Step 6: Final answer
    x = 2,114.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.