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Finding the Fourth Proportional to 2,065.50, 3,098.26 and 969.28

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Solution

The fourth proportional to 2,065.50, 3,098.26 and 969.28 is: 1,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.50 : 3,098.26 = 969.28 : x
  2. Step 2: Convert to fraction form
    2,065.50/3,098.26 = 969.28/x
  3. Step 3: Cross multiply
    2,065.50x = 3,098.26 × 969.28
  4. Step 4: Simplify right side
    2,065.50x = 3,003,081.45
  5. Step 5: Solve for x
    x = 3,003,081.45/2,065.50
  6. Step 6: Final answer
    x = 1,453.92

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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.