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Finding the Fourth Proportional to 2,969.64, 4,454.46 and 778.56

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Solution

The fourth proportional to 2,969.64, 4,454.46 and 778.56 is: 1,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.64 : 4,454.46 = 778.56 : x
  2. Step 2: Convert to fraction form
    2,969.64/4,454.46 = 778.56/x
  3. Step 3: Cross multiply
    2,969.64x = 4,454.46 × 778.56
  4. Step 4: Simplify right side
    2,969.64x = 3,468,064.38
  5. Step 5: Solve for x
    x = 3,468,064.38/2,969.64
  6. Step 6: Final answer
    x = 1,167.84

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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.