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Finding the Fourth Proportional to 2,966.16, 4,449.50 and 774.89

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Solution

The fourth proportional to 2,966.16, 4,449.50 and 774.89 is: 1,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.16 : 4,449.50 = 774.89 : x
  2. Step 2: Convert to fraction form
    2,966.16/4,449.50 = 774.89/x
  3. Step 3: Cross multiply
    2,966.16x = 4,449.50 × 774.89
  4. Step 4: Simplify right side
    2,966.16x = 3,447,846.93
  5. Step 5: Solve for x
    x = 3,447,846.93/2,966.16
  6. Step 6: Final answer
    x = 1,162.39

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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.