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Finding the Fourth Proportional to 2,966.13, 4,449.20 and 774.81

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Solution

The fourth proportional to 2,966.13, 4,449.20 and 774.81 is: 1,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.13 : 4,449.20 = 774.81 : x
  2. Step 2: Convert to fraction form
    2,966.13/4,449.20 = 774.81/x
  3. Step 3: Cross multiply
    2,966.13x = 4,449.20 × 774.81
  4. Step 4: Simplify right side
    2,966.13x = 3,447,280.78
  5. Step 5: Solve for x
    x = 3,447,280.78/2,966.13
  6. Step 6: Final answer
    x = 1,162.22

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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.