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Finding the Fourth Proportional to 3,294.68, 4,942.85 and 986.18

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Solution

The fourth proportional to 3,294.68, 4,942.85 and 986.18 is: 1,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.68 : 4,942.85 = 986.18 : x
  2. Step 2: Convert to fraction form
    3,294.68/4,942.85 = 986.18/x
  3. Step 3: Cross multiply
    3,294.68x = 4,942.85 × 986.18
  4. Step 4: Simplify right side
    3,294.68x = 4,874,510.17
  5. Step 5: Solve for x
    x = 4,874,510.17/3,294.68
  6. Step 6: Final answer
    x = 1,479.51

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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.