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Finding the Fourth Proportional to 2,616.58, 3,924.99 and 860.86

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Solution

The fourth proportional to 2,616.58, 3,924.99 and 860.86 is: 1,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.58 : 3,924.99 = 860.86 : x
  2. Step 2: Convert to fraction form
    2,616.58/3,924.99 = 860.86/x
  3. Step 3: Cross multiply
    2,616.58x = 3,924.99 × 860.86
  4. Step 4: Simplify right side
    2,616.58x = 3,378,866.89
  5. Step 5: Solve for x
    x = 3,378,866.89/2,616.58
  6. Step 6: Final answer
    x = 1,291.33

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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.