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Finding the Fourth Proportional to 2,565.75, 3,840.30 and 1,331.40

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Solution

The fourth proportional to 2,565.75, 3,840.30 and 1,331.40 is: 1,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.75 : 3,840.30 = 1,331.40 : x
  2. Step 2: Convert to fraction form
    2,565.75/3,840.30 = 1,331.40/x
  3. Step 3: Cross multiply
    2,565.75x = 3,840.30 × 1,331.40
  4. Step 4: Simplify right side
    2,565.75x = 5,112,975.42
  5. Step 5: Solve for x
    x = 5,112,975.42/2,565.75
  6. Step 6: Final answer
    x = 1,992.78

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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.