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Finding the Fourth Proportional to 3,294.66, 4,942.85 and 986.16

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Solution

The fourth proportional to 3,294.66, 4,942.85 and 986.16 is: 1,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.66 : 4,942.85 = 986.16 : x
  2. Step 2: Convert to fraction form
    3,294.66/4,942.85 = 986.16/x
  3. Step 3: Cross multiply
    3,294.66x = 4,942.85 × 986.16
  4. Step 4: Simplify right side
    3,294.66x = 4,874,411.31
  5. Step 5: Solve for x
    x = 4,874,411.31/3,294.66
  6. Step 6: Final answer
    x = 1,479.49

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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.