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Finding the Fourth Proportional to 2,393.58, 3,565.11 and 2,286.96

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Solution

The fourth proportional to 2,393.58, 3,565.11 and 2,286.96 is: 3,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.58 : 3,565.11 = 2,286.96 : x
  2. Step 2: Convert to fraction form
    2,393.58/3,565.11 = 2,286.96/x
  3. Step 3: Cross multiply
    2,393.58x = 3,565.11 × 2,286.96
  4. Step 4: Simplify right side
    2,393.58x = 8,153,263.97
  5. Step 5: Solve for x
    x = 8,153,263.97/2,393.58
  6. Step 6: Final answer
    x = 3,406.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.