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Finding the Fourth Proportional to 2,966.57, 4,449.87 and 775.32

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Solution

The fourth proportional to 2,966.57, 4,449.87 and 775.32 is: 1,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.57 : 4,449.87 = 775.32 : x
  2. Step 2: Convert to fraction form
    2,966.57/4,449.87 = 775.32/x
  3. Step 3: Cross multiply
    2,966.57x = 4,449.87 × 775.32
  4. Step 4: Simplify right side
    2,966.57x = 3,450,056.52
  5. Step 5: Solve for x
    x = 3,450,056.52/2,966.57
  6. Step 6: Final answer
    x = 1,162.98

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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.