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Finding the Fourth Proportional to 2,565.73, 3,848.74 and 810.79

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Solution

The fourth proportional to 2,565.73, 3,848.74 and 810.79 is: 1,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.73 : 3,848.74 = 810.79 : x
  2. Step 2: Convert to fraction form
    2,565.73/3,848.74 = 810.79/x
  3. Step 3: Cross multiply
    2,565.73x = 3,848.74 × 810.79
  4. Step 4: Simplify right side
    2,565.73x = 3,120,500.66
  5. Step 5: Solve for x
    x = 3,120,500.66/2,565.73
  6. Step 6: Final answer
    x = 1,216.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.