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Finding the Fourth Proportional to 2,966.15, 4,449.23 and 774.87

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Solution

The fourth proportional to 2,966.15, 4,449.23 and 774.87 is: 1,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.15 : 4,449.23 = 774.87 : x
  2. Step 2: Convert to fraction form
    2,966.15/4,449.23 = 774.87/x
  3. Step 3: Cross multiply
    2,966.15x = 4,449.23 × 774.87
  4. Step 4: Simplify right side
    2,966.15x = 3,447,570.98
  5. Step 5: Solve for x
    x = 3,447,570.98/2,966.15
  6. Step 6: Final answer
    x = 1,162.31

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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.