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Finding the Fourth Proportional to 2,003.57, 3,005.57 and 542.84

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Solution

The fourth proportional to 2,003.57, 3,005.57 and 542.84 is: 814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.57 : 3,005.57 = 542.84 : x
  2. Step 2: Convert to fraction form
    2,003.57/3,005.57 = 542.84/x
  3. Step 3: Cross multiply
    2,003.57x = 3,005.57 × 542.84
  4. Step 4: Simplify right side
    2,003.57x = 1,631,529.95
  5. Step 5: Solve for x
    x = 1,631,529.95/2,003.57
  6. Step 6: Final answer
    x = 814.31

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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.