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Finding the Fourth Proportional to 2,289.20, 3,434.34 and 645.71

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Solution

The fourth proportional to 2,289.20, 3,434.34 and 645.71 is: 968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.20 : 3,434.34 = 645.71 : x
  2. Step 2: Convert to fraction form
    2,289.20/3,434.34 = 645.71/x
  3. Step 3: Cross multiply
    2,289.20x = 3,434.34 × 645.71
  4. Step 4: Simplify right side
    2,289.20x = 2,217,587.68
  5. Step 5: Solve for x
    x = 2,217,587.68/2,289.20
  6. Step 6: Final answer
    x = 968.72

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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.