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Finding the Fourth Proportional to 2,225.60, 3,338.87 and 838.90

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Solution

The fourth proportional to 2,225.60, 3,338.87 and 838.90 is: 1,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.60 : 3,338.87 = 838.90 : x
  2. Step 2: Convert to fraction form
    2,225.60/3,338.87 = 838.90/x
  3. Step 3: Cross multiply
    2,225.60x = 3,338.87 × 838.90
  4. Step 4: Simplify right side
    2,225.60x = 2,800,973.85
  5. Step 5: Solve for x
    x = 2,800,973.85/2,225.60
  6. Step 6: Final answer
    x = 1,258.53

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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.