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Finding the Fourth Proportional to 2,285.51, 3,429.49 and 969.47

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Solution

The fourth proportional to 2,285.51, 3,429.49 and 969.47 is: 1,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.51 : 3,429.49 = 969.47 : x
  2. Step 2: Convert to fraction form
    2,285.51/3,429.49 = 969.47/x
  3. Step 3: Cross multiply
    2,285.51x = 3,429.49 × 969.47
  4. Step 4: Simplify right side
    2,285.51x = 3,324,768.10
  5. Step 5: Solve for x
    x = 3,324,768.10/2,285.51
  6. Step 6: Final answer
    x = 1,454.71

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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.