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Finding the Fourth Proportional to 3,049.65, 4,574 and 969.38

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Solution

The fourth proportional to 3,049.65, 4,574 and 969.38 is: 1,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.65 : 4,574 = 969.38 : x
  2. Step 2: Convert to fraction form
    3,049.65/4,574 = 969.38/x
  3. Step 3: Cross multiply
    3,049.65x = 4,574 × 969.38
  4. Step 4: Simplify right side
    3,049.65x = 4,433,944.12
  5. Step 5: Solve for x
    x = 4,433,944.12/3,049.65
  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.