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Finding the Fourth Proportional to 2,565.83, 3,849.26 and 811.11

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Solution

The fourth proportional to 2,565.83, 3,849.26 and 811.11 is: 1,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.83 : 3,849.26 = 811.11 : x
  2. Step 2: Convert to fraction form
    2,565.83/3,849.26 = 811.11/x
  3. Step 3: Cross multiply
    2,565.83x = 3,849.26 × 811.11
  4. Step 4: Simplify right side
    2,565.83x = 3,122,173.28
  5. Step 5: Solve for x
    x = 3,122,173.28/2,565.83
  6. Step 6: Final answer
    x = 1,216.83

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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.