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Finding the Fourth Proportional to 2,807.13, 4,212.22 and 1,164.80

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Solution

The fourth proportional to 2,807.13, 4,212.22 and 1,164.80 is: 1,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.13 : 4,212.22 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    2,807.13/4,212.22 = 1,164.80/x
  3. Step 3: Cross multiply
    2,807.13x = 4,212.22 × 1,164.80
  4. Step 4: Simplify right side
    2,807.13x = 4,906,401.47
  5. Step 5: Solve for x
    x = 4,906,401.47/2,807.13
  6. Step 6: Final answer
    x = 1,747.84

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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.