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Finding the Fourth Proportional to 2,286.13, 3,428.51 and 969.86

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Solution

The fourth proportional to 2,286.13, 3,428.51 and 969.86 is: 1,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.13 : 3,428.51 = 969.86 : x
  2. Step 2: Convert to fraction form
    2,286.13/3,428.51 = 969.86/x
  3. Step 3: Cross multiply
    2,286.13x = 3,428.51 × 969.86
  4. Step 4: Simplify right side
    2,286.13x = 3,325,174.71
  5. Step 5: Solve for x
    x = 3,325,174.71/2,286.13
  6. Step 6: Final answer
    x = 1,454.50

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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.