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Finding the Fourth Proportional to 3,049.66, 4,574.02 and 969.39

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Solution

The fourth proportional to 3,049.66, 4,574.02 and 969.39 is: 1,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.66 : 4,574.02 = 969.39 : x
  2. Step 2: Convert to fraction form
    3,049.66/4,574.02 = 969.39/x
  3. Step 3: Cross multiply
    3,049.66x = 4,574.02 × 969.39
  4. Step 4: Simplify right side
    3,049.66x = 4,434,009.25
  5. Step 5: Solve for x
    x = 4,434,009.25/3,049.66
  6. Step 6: Final answer
    x = 1,453.94

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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.