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Finding the Fourth Proportional to 2,296.82, 3,445.20 and 565.46

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Solution

The fourth proportional to 2,296.82, 3,445.20 and 565.46 is: 848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.82 : 3,445.20 = 565.46 : x
  2. Step 2: Convert to fraction form
    2,296.82/3,445.20 = 565.46/x
  3. Step 3: Cross multiply
    2,296.82x = 3,445.20 × 565.46
  4. Step 4: Simplify right side
    2,296.82x = 1,948,122.79
  5. Step 5: Solve for x
    x = 1,948,122.79/2,296.82
  6. Step 6: Final answer
    x = 848.18

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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.