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Finding the Fourth Proportional to 2,922.75, 4,384.80 and 974.97

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Solution

The fourth proportional to 2,922.75, 4,384.80 and 974.97 is: 1,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.75 : 4,384.80 = 974.97 : x
  2. Step 2: Convert to fraction form
    2,922.75/4,384.80 = 974.97/x
  3. Step 3: Cross multiply
    2,922.75x = 4,384.80 × 974.97
  4. Step 4: Simplify right side
    2,922.75x = 4,275,048.46
  5. Step 5: Solve for x
    x = 4,275,048.46/2,922.75
  6. Step 6: Final answer
    x = 1,462.68

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1.5x scale

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.