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Finding the Fourth Proportional to 2,965.27, 4,448.68 and 885.28

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Solution

The fourth proportional to 2,965.27, 4,448.68 and 885.28 is: 1,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.27 : 4,448.68 = 885.28 : x
  2. Step 2: Convert to fraction form
    2,965.27/4,448.68 = 885.28/x
  3. Step 3: Cross multiply
    2,965.27x = 4,448.68 × 885.28
  4. Step 4: Simplify right side
    2,965.27x = 3,938,306.16
  5. Step 5: Solve for x
    x = 3,938,306.16/2,965.27
  6. Step 6: Final answer
    x = 1,328.14

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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.