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Finding the Fourth Proportional to 2,002.02, 3,005.00 and 1,272.11

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Solution

The fourth proportional to 2,002.02, 3,005.00 and 1,272.11 is: 1,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.02 : 3,005.00 = 1,272.11 : x
  2. Step 2: Convert to fraction form
    2,002.02/3,005.00 = 1,272.11/x
  3. Step 3: Cross multiply
    2,002.02x = 3,005.00 × 1,272.11
  4. Step 4: Simplify right side
    2,002.02x = 3,822,673.93
  5. Step 5: Solve for x
    x = 3,822,673.93/2,002.02
  6. Step 6: Final answer
    x = 1,909.41

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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.