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Finding the Fourth Proportional to 2,319.22, 3,478.79 and 564.23

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Solution

The fourth proportional to 2,319.22, 3,478.79 and 564.23 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.22 : 3,478.79 = 564.23 : x
  2. Step 2: Convert to fraction form
    2,319.22/3,478.79 = 564.23/x
  3. Step 3: Cross multiply
    2,319.22x = 3,478.79 × 564.23
  4. Step 4: Simplify right side
    2,319.22x = 1,962,837.68
  5. Step 5: Solve for x
    x = 1,962,837.68/2,319.22
  6. Step 6: Final answer
    x = 846.34

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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.