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Finding the Fourth Proportional to 3,282.91, 4,924.37 and 974.41

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Solution

The fourth proportional to 3,282.91, 4,924.37 and 974.41 is: 1,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.91 : 4,924.37 = 974.41 : x
  2. Step 2: Convert to fraction form
    3,282.91/4,924.37 = 974.41/x
  3. Step 3: Cross multiply
    3,282.91x = 4,924.37 × 974.41
  4. Step 4: Simplify right side
    3,282.91x = 4,798,363.96
  5. Step 5: Solve for x
    x = 4,798,363.96/3,282.91
  6. Step 6: Final answer
    x = 1,461.62

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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.