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Finding the Fourth Proportional to 3,322.84, 4,984.92 and 982.89

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Solution

The fourth proportional to 3,322.84, 4,984.92 and 982.89 is: 1,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.84 : 4,984.92 = 982.89 : x
  2. Step 2: Convert to fraction form
    3,322.84/4,984.92 = 982.89/x
  3. Step 3: Cross multiply
    3,322.84x = 4,984.92 × 982.89
  4. Step 4: Simplify right side
    3,322.84x = 4,899,628.02
  5. Step 5: Solve for x
    x = 4,899,628.02/3,322.84
  6. Step 6: Final answer
    x = 1,474.53

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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.