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Finding the Fourth Proportional to 3,404.70, 5,110.65 and 1,946.70

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Solution

The fourth proportional to 3,404.70, 5,110.65 and 1,946.70 is: 2,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.70 : 5,110.65 = 1,946.70 : x
  2. Step 2: Convert to fraction form
    3,404.70/5,110.65 = 1,946.70/x
  3. Step 3: Cross multiply
    3,404.70x = 5,110.65 × 1,946.70
  4. Step 4: Simplify right side
    3,404.70x = 9,948,902.36
  5. Step 5: Solve for x
    x = 9,948,902.36/3,404.70
  6. Step 6: Final answer
    x = 2,922.11

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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.