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Finding the Fourth Proportional to 2,969.65, 4,454.48 and 778.37

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Solution

The fourth proportional to 2,969.65, 4,454.48 and 778.37 is: 1,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.65 : 4,454.48 = 778.37 : x
  2. Step 2: Convert to fraction form
    2,969.65/4,454.48 = 778.37/x
  3. Step 3: Cross multiply
    2,969.65x = 4,454.48 × 778.37
  4. Step 4: Simplify right side
    2,969.65x = 3,467,233.60
  5. Step 5: Solve for x
    x = 3,467,233.60/2,969.65
  6. Step 6: Final answer
    x = 1,167.56

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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.