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Finding the Fourth Proportional to 3,295.25, 4,942.89 and 986.77

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Solution

The fourth proportional to 3,295.25, 4,942.89 and 986.77 is: 1,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.25 : 4,942.89 = 986.77 : x
  2. Step 2: Convert to fraction form
    3,295.25/4,942.89 = 986.77/x
  3. Step 3: Cross multiply
    3,295.25x = 4,942.89 × 986.77
  4. Step 4: Simplify right side
    3,295.25x = 4,877,468.38
  5. Step 5: Solve for x
    x = 4,877,468.38/3,295.25
  6. Step 6: Final answer
    x = 1,480.15

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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.