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Finding the Fourth Proportional to 2,801.78, 4,197.20 and 1,703.42

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Solution

The fourth proportional to 2,801.78, 4,197.20 and 1,703.42 is: 2,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.78 : 4,197.20 = 1,703.42 : x
  2. Step 2: Convert to fraction form
    2,801.78/4,197.20 = 1,703.42/x
  3. Step 3: Cross multiply
    2,801.78x = 4,197.20 × 1,703.42
  4. Step 4: Simplify right side
    2,801.78x = 7,149,564.92
  5. Step 5: Solve for x
    x = 7,149,564.92/2,801.78
  6. Step 6: Final answer
    x = 2,551.80

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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.