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Finding the Fourth Proportional to 2,286.28, 3,428.76 and 899.35

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Solution

The fourth proportional to 2,286.28, 3,428.76 and 899.35 is: 1,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.28 : 3,428.76 = 899.35 : x
  2. Step 2: Convert to fraction form
    2,286.28/3,428.76 = 899.35/x
  3. Step 3: Cross multiply
    2,286.28x = 3,428.76 × 899.35
  4. Step 4: Simplify right side
    2,286.28x = 3,083,655.31
  5. Step 5: Solve for x
    x = 3,083,655.31/2,286.28
  6. Step 6: Final answer
    x = 1,348.77

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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.