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Finding the Fourth Proportional to 2,003.88, 3,005.73 and 542.94

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Solution

The fourth proportional to 2,003.88, 3,005.73 and 542.94 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.88 : 3,005.73 = 542.94 : x
  2. Step 2: Convert to fraction form
    2,003.88/3,005.73 = 542.94/x
  3. Step 3: Cross multiply
    2,003.88x = 3,005.73 × 542.94
  4. Step 4: Simplify right side
    2,003.88x = 1,631,931.05
  5. Step 5: Solve for x
    x = 1,631,931.05/2,003.88
  6. Step 6: Final answer
    x = 814.39

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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.