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Finding the Fourth Proportional to 2,003.30, 3,004.91 and 542.66

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Solution

The fourth proportional to 2,003.30, 3,004.91 and 542.66 is: 813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.30 : 3,004.91 = 542.66 : x
  2. Step 2: Convert to fraction form
    2,003.30/3,004.91 = 542.66/x
  3. Step 3: Cross multiply
    2,003.30x = 3,004.91 × 542.66
  4. Step 4: Simplify right side
    2,003.30x = 1,630,644.46
  5. Step 5: Solve for x
    x = 1,630,644.46/2,003.30
  6. Step 6: Final answer
    x = 813.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.