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Finding the Fourth Proportional to 2,317.20, 3,475.77 and 562.22

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Solution

The fourth proportional to 2,317.20, 3,475.77 and 562.22 is: 843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.20 : 3,475.77 = 562.22 : x
  2. Step 2: Convert to fraction form
    2,317.20/3,475.77 = 562.22/x
  3. Step 3: Cross multiply
    2,317.20x = 3,475.77 × 562.22
  4. Step 4: Simplify right side
    2,317.20x = 1,954,144.91
  5. Step 5: Solve for x
    x = 1,954,144.91/2,317.20
  6. Step 6: Final answer
    x = 843.32

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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.