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Finding the Fourth Proportional to 2,503.19, 3,754.78 and 859.72

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Solution

The fourth proportional to 2,503.19, 3,754.78 and 859.72 is: 1,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.19 : 3,754.78 = 859.72 : x
  2. Step 2: Convert to fraction form
    2,503.19/3,754.78 = 859.72/x
  3. Step 3: Cross multiply
    2,503.19x = 3,754.78 × 859.72
  4. Step 4: Simplify right side
    2,503.19x = 3,228,067.94
  5. Step 5: Solve for x
    x = 3,228,067.94/2,503.19
  6. Step 6: Final answer
    x = 1,289.58

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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.