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Finding the Fourth Proportional to 2,294.42, 3,422.20 and 2,225.18

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Solution

The fourth proportional to 2,294.42, 3,422.20 and 2,225.18 is: 3,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.42 : 3,422.20 = 2,225.18 : x
  2. Step 2: Convert to fraction form
    2,294.42/3,422.20 = 2,225.18/x
  3. Step 3: Cross multiply
    2,294.42x = 3,422.20 × 2,225.18
  4. Step 4: Simplify right side
    2,294.42x = 7,615,011.00
  5. Step 5: Solve for x
    x = 7,615,011.00/2,294.42
  6. Step 6: Final answer
    x = 3,318.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.