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Finding the Fourth Proportional to 1,268.43, 1,894.07 and 1,037.77

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Solution

The fourth proportional to 1,268.43, 1,894.07 and 1,037.77 is: 1,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.43 : 1,894.07 = 1,037.77 : x
  2. Step 2: Convert to fraction form
    1,268.43/1,894.07 = 1,037.77/x
  3. Step 3: Cross multiply
    1,268.43x = 1,894.07 × 1,037.77
  4. Step 4: Simplify right side
    1,268.43x = 1,965,611.62
  5. Step 5: Solve for x
    x = 1,965,611.62/1,268.43
  6. Step 6: Final answer
    x = 1,549.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.