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Finding the Fourth Proportional to 2,969.23, 4,453.50 and 778.13

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Solution

The fourth proportional to 2,969.23, 4,453.50 and 778.13 is: 1,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.23 : 4,453.50 = 778.13 : x
  2. Step 2: Convert to fraction form
    2,969.23/4,453.50 = 778.13/x
  3. Step 3: Cross multiply
    2,969.23x = 4,453.50 × 778.13
  4. Step 4: Simplify right side
    2,969.23x = 3,465,396.39
  5. Step 5: Solve for x
    x = 3,465,396.39/2,969.23
  6. Step 6: Final answer
    x = 1,167.10

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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.