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Finding the Fourth Proportional to 2,559.74, 3,834.44 and 1,867.86

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Solution

The fourth proportional to 2,559.74, 3,834.44 and 1,867.86 is: 2,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.74 : 3,834.44 = 1,867.86 : x
  2. Step 2: Convert to fraction form
    2,559.74/3,834.44 = 1,867.86/x
  3. Step 3: Cross multiply
    2,559.74x = 3,834.44 × 1,867.86
  4. Step 4: Simplify right side
    2,559.74x = 7,162,194.76
  5. Step 5: Solve for x
    x = 7,162,194.76/2,559.74
  6. Step 6: Final answer
    x = 2,798.02

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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.