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Finding the Fourth Proportional to 3,282.96, 4,924.32 and 974.40

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Solution

The fourth proportional to 3,282.96, 4,924.32 and 974.40 is: 1,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.96 : 4,924.32 = 974.40 : x
  2. Step 2: Convert to fraction form
    3,282.96/4,924.32 = 974.40/x
  3. Step 3: Cross multiply
    3,282.96x = 4,924.32 × 974.40
  4. Step 4: Simplify right side
    3,282.96x = 4,798,257.41
  5. Step 5: Solve for x
    x = 4,798,257.41/3,282.96
  6. Step 6: Final answer
    x = 1,461.56

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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.