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Finding the Fourth Proportional to 2,784.40, 3,842.24 and 1,789.52

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Solution

The fourth proportional to 2,784.40, 3,842.24 and 1,789.52 is: 2,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.40 : 3,842.24 = 1,789.52 : x
  2. Step 2: Convert to fraction form
    2,784.40/3,842.24 = 1,789.52/x
  3. Step 3: Cross multiply
    2,784.40x = 3,842.24 × 1,789.52
  4. Step 4: Simplify right side
    2,784.40x = 6,875,737.17
  5. Step 5: Solve for x
    x = 6,875,737.17/2,784.40
  6. Step 6: Final answer
    x = 2,469.38

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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.