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Finding the Fourth Proportional to 2,868.76, 4,303.50 and 920.44

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Solution

The fourth proportional to 2,868.76, 4,303.50 and 920.44 is: 1,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.76 : 4,303.50 = 920.44 : x
  2. Step 2: Convert to fraction form
    2,868.76/4,303.50 = 920.44/x
  3. Step 3: Cross multiply
    2,868.76x = 4,303.50 × 920.44
  4. Step 4: Simplify right side
    2,868.76x = 3,961,113.54
  5. Step 5: Solve for x
    x = 3,961,113.54/2,868.76
  6. Step 6: Final answer
    x = 1,380.78

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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.