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Finding the Fourth Proportional to 2,320.29, 3,480.45 and 565.30

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Solution

The fourth proportional to 2,320.29, 3,480.45 and 565.30 is: 847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.29 : 3,480.45 = 565.30 : x
  2. Step 2: Convert to fraction form
    2,320.29/3,480.45 = 565.30/x
  3. Step 3: Cross multiply
    2,320.29x = 3,480.45 × 565.30
  4. Step 4: Simplify right side
    2,320.29x = 1,967,487.56
  5. Step 5: Solve for x
    x = 1,967,487.56/2,320.29
  6. Step 6: Final answer
    x = 847.95

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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.