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Finding the Fourth Proportional to 2,003.78, 3,005.25 and 542.59

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Solution

The fourth proportional to 2,003.78, 3,005.25 and 542.59 is: 813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.78 : 3,005.25 = 542.59 : x
  2. Step 2: Convert to fraction form
    2,003.78/3,005.25 = 542.59/x
  3. Step 3: Cross multiply
    2,003.78x = 3,005.25 × 542.59
  4. Step 4: Simplify right side
    2,003.78x = 1,630,618.60
  5. Step 5: Solve for x
    x = 1,630,618.60/2,003.78
  6. Step 6: Final answer
    x = 813.77

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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.