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Finding the Fourth Proportional to 2,003.41, 3,005.11 and 542.60

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Solution

The fourth proportional to 2,003.41, 3,005.11 and 542.60 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.41 : 3,005.11 = 542.60 : x
  2. Step 2: Convert to fraction form
    2,003.41/3,005.11 = 542.60/x
  3. Step 3: Cross multiply
    2,003.41x = 3,005.11 × 542.60
  4. Step 4: Simplify right side
    2,003.41x = 1,630,572.69
  5. Step 5: Solve for x
    x = 1,630,572.69/2,003.41
  6. Step 6: Final answer
    x = 813.90

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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.