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Finding the Fourth Proportional to 2,003.58, 3,005.38 and 542.74

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Solution

The fourth proportional to 2,003.58, 3,005.38 and 542.74 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.58 : 3,005.38 = 542.74 : x
  2. Step 2: Convert to fraction form
    2,003.58/3,005.38 = 542.74/x
  3. Step 3: Cross multiply
    2,003.58x = 3,005.38 × 542.74
  4. Step 4: Simplify right side
    2,003.58x = 1,631,139.94
  5. Step 5: Solve for x
    x = 1,631,139.94/2,003.58
  6. Step 6: Final answer
    x = 814.11

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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.