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Finding the Fourth Proportional to 2,206.32, 3,309.45 and 562.85

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Solution

The fourth proportional to 2,206.32, 3,309.45 and 562.85 is: 844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.32 : 3,309.45 = 562.85 : x
  2. Step 2: Convert to fraction form
    2,206.32/3,309.45 = 562.85/x
  3. Step 3: Cross multiply
    2,206.32x = 3,309.45 × 562.85
  4. Step 4: Simplify right side
    2,206.32x = 1,862,707.39
  5. Step 5: Solve for x
    x = 1,862,707.39/2,206.32
  6. Step 6: Final answer
    x = 844.26

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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.