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Finding the Fourth Proportional to 3,001.66, 4,500.36 and 1,152.43

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Solution

The fourth proportional to 3,001.66, 4,500.36 and 1,152.43 is: 1,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.66 : 4,500.36 = 1,152.43 : x
  2. Step 2: Convert to fraction form
    3,001.66/4,500.36 = 1,152.43/x
  3. Step 3: Cross multiply
    3,001.66x = 4,500.36 × 1,152.43
  4. Step 4: Simplify right side
    3,001.66x = 5,186,349.87
  5. Step 5: Solve for x
    x = 5,186,349.87/3,001.66
  6. Step 6: Final answer
    x = 1,727.83

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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.