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Finding the Fourth Proportional to 2,371.70, 3,557.82 and 984.85

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Solution

The fourth proportional to 2,371.70, 3,557.82 and 984.85 is: 1,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.70 : 3,557.82 = 984.85 : x
  2. Step 2: Convert to fraction form
    2,371.70/3,557.82 = 984.85/x
  3. Step 3: Cross multiply
    2,371.70x = 3,557.82 × 984.85
  4. Step 4: Simplify right side
    2,371.70x = 3,503,919.03
  5. Step 5: Solve for x
    x = 3,503,919.03/2,371.70
  6. Step 6: Final answer
    x = 1,477.39

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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.