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Finding the Fourth Proportional to 2,002.05, 2,999.81 and 1,451.66

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Solution

The fourth proportional to 2,002.05, 2,999.81 and 1,451.66 is: 2,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.05 : 2,999.81 = 1,451.66 : x
  2. Step 2: Convert to fraction form
    2,002.05/2,999.81 = 1,451.66/x
  3. Step 3: Cross multiply
    2,002.05x = 2,999.81 × 1,451.66
  4. Step 4: Simplify right side
    2,002.05x = 4,354,681.93
  5. Step 5: Solve for x
    x = 4,354,681.93/2,002.05
  6. Step 6: Final answer
    x = 2,175.11

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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.