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Finding the Fourth Proportional to 1,808.86, 2,707.12 and 1,516.69

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Solution

The fourth proportional to 1,808.86, 2,707.12 and 1,516.69 is: 2,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.86 : 2,707.12 = 1,516.69 : x
  2. Step 2: Convert to fraction form
    1,808.86/2,707.12 = 1,516.69/x
  3. Step 3: Cross multiply
    1,808.86x = 2,707.12 × 1,516.69
  4. Step 4: Simplify right side
    1,808.86x = 4,105,855.69
  5. Step 5: Solve for x
    x = 4,105,855.69/1,808.86
  6. Step 6: Final answer
    x = 2,269.86

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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.