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Finding the Fourth Proportional to 2,952.27, 4,428.14 and 900.27

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Solution

The fourth proportional to 2,952.27, 4,428.14 and 900.27 is: 1,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.27 : 4,428.14 = 900.27 : x
  2. Step 2: Convert to fraction form
    2,952.27/4,428.14 = 900.27/x
  3. Step 3: Cross multiply
    2,952.27x = 4,428.14 × 900.27
  4. Step 4: Simplify right side
    2,952.27x = 3,986,517.10
  5. Step 5: Solve for x
    x = 3,986,517.10/2,952.27
  6. Step 6: Final answer
    x = 1,350.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.