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Finding the Fourth Proportional to 2,817.24, 4,225.91 and 869.44

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Solution

The fourth proportional to 2,817.24, 4,225.91 and 869.44 is: 1,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.24 : 4,225.91 = 869.44 : x
  2. Step 2: Convert to fraction form
    2,817.24/4,225.91 = 869.44/x
  3. Step 3: Cross multiply
    2,817.24x = 4,225.91 × 869.44
  4. Step 4: Simplify right side
    2,817.24x = 3,674,175.19
  5. Step 5: Solve for x
    x = 3,674,175.19/2,817.24
  6. Step 6: Final answer
    x = 1,304.18

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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.