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Finding the Fourth Proportional to 2,337.05, 3,224.81 and 1,289.12

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Solution

The fourth proportional to 2,337.05, 3,224.81 and 1,289.12 is: 1,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.05 : 3,224.81 = 1,289.12 : x
  2. Step 2: Convert to fraction form
    2,337.05/3,224.81 = 1,289.12/x
  3. Step 3: Cross multiply
    2,337.05x = 3,224.81 × 1,289.12
  4. Step 4: Simplify right side
    2,337.05x = 4,157,154.17
  5. Step 5: Solve for x
    x = 4,157,154.17/2,337.05
  6. Step 6: Final answer
    x = 1,778.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.