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Finding the Fourth Proportional to 2,299.86, 3,451.53 and 1,685.16

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Solution

The fourth proportional to 2,299.86, 3,451.53 and 1,685.16 is: 2,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.86 : 3,451.53 = 1,685.16 : x
  2. Step 2: Convert to fraction form
    2,299.86/3,451.53 = 1,685.16/x
  3. Step 3: Cross multiply
    2,299.86x = 3,451.53 × 1,685.16
  4. Step 4: Simplify right side
    2,299.86x = 5,816,380.29
  5. Step 5: Solve for x
    x = 5,816,380.29/2,299.86
  6. Step 6: Final answer
    x = 2,529.01

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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.