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Finding the Fourth Proportional to 3,122.74, 4,683.80 and 814.24

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Solution

The fourth proportional to 3,122.74, 4,683.80 and 814.24 is: 1,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.74 : 4,683.80 = 814.24 : x
  2. Step 2: Convert to fraction form
    3,122.74/4,683.80 = 814.24/x
  3. Step 3: Cross multiply
    3,122.74x = 4,683.80 × 814.24
  4. Step 4: Simplify right side
    3,122.74x = 3,813,737.31
  5. Step 5: Solve for x
    x = 3,813,737.31/3,122.74
  6. Step 6: Final answer
    x = 1,221.28

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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.