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Finding the Fourth Proportional to 2,309.87, 3,188.62 and 1,565.98

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Solution

The fourth proportional to 2,309.87, 3,188.62 and 1,565.98 is: 2,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.87 : 3,188.62 = 1,565.98 : x
  2. Step 2: Convert to fraction form
    2,309.87/3,188.62 = 1,565.98/x
  3. Step 3: Cross multiply
    2,309.87x = 3,188.62 × 1,565.98
  4. Step 4: Simplify right side
    2,309.87x = 4,993,318.26
  5. Step 5: Solve for x
    x = 4,993,318.26/2,309.87
  6. Step 6: Final answer
    x = 2,161.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.