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Finding the Fourth Proportional to 2,003.47, 3,005.13 and 542.65

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Solution

The fourth proportional to 2,003.47, 3,005.13 and 542.65 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.47 : 3,005.13 = 542.65 : x
  2. Step 2: Convert to fraction form
    2,003.47/3,005.13 = 542.65/x
  3. Step 3: Cross multiply
    2,003.47x = 3,005.13 × 542.65
  4. Step 4: Simplify right side
    2,003.47x = 1,630,733.79
  5. Step 5: Solve for x
    x = 1,630,733.79/2,003.47
  6. Step 6: Final answer
    x = 813.95

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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.