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Finding the Fourth Proportional to 2,565.60, 3,846.41 and 1,394.85

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Solution

The fourth proportional to 2,565.60, 3,846.41 and 1,394.85 is: 2,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.60 : 3,846.41 = 1,394.85 : x
  2. Step 2: Convert to fraction form
    2,565.60/3,846.41 = 1,394.85/x
  3. Step 3: Cross multiply
    2,565.60x = 3,846.41 × 1,394.85
  4. Step 4: Simplify right side
    2,565.60x = 5,365,158.01
  5. Step 5: Solve for x
    x = 5,365,158.01/2,565.60
  6. Step 6: Final answer
    x = 2,091.19

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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.