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Finding the Fourth Proportional to 2,863.94, 4,296.58 and 889.47

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Solution

The fourth proportional to 2,863.94, 4,296.58 and 889.47 is: 1,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.94 : 4,296.58 = 889.47 : x
  2. Step 2: Convert to fraction form
    2,863.94/4,296.58 = 889.47/x
  3. Step 3: Cross multiply
    2,863.94x = 4,296.58 × 889.47
  4. Step 4: Simplify right side
    2,863.94x = 3,821,657.53
  5. Step 5: Solve for x
    x = 3,821,657.53/2,863.94
  6. Step 6: Final answer
    x = 1,334.41

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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.