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Finding the Fourth Proportional to 3,001.61, 4,500.80 and 1,152.33

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Solution

The fourth proportional to 3,001.61, 4,500.80 and 1,152.33 is: 1,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.61 : 4,500.80 = 1,152.33 : x
  2. Step 2: Convert to fraction form
    3,001.61/4,500.80 = 1,152.33/x
  3. Step 3: Cross multiply
    3,001.61x = 4,500.80 × 1,152.33
  4. Step 4: Simplify right side
    3,001.61x = 5,186,406.86
  5. Step 5: Solve for x
    x = 5,186,406.86/3,001.61
  6. Step 6: Final answer
    x = 1,727.87

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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.