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Finding the Fourth Proportional to 2,760.15, 3,808.83 and 1,565.39

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Solution

The fourth proportional to 2,760.15, 3,808.83 and 1,565.39 is: 2,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.15 : 3,808.83 = 1,565.39 : x
  2. Step 2: Convert to fraction form
    2,760.15/3,808.83 = 1,565.39/x
  3. Step 3: Cross multiply
    2,760.15x = 3,808.83 × 1,565.39
  4. Step 4: Simplify right side
    2,760.15x = 5,962,315.38
  5. Step 5: Solve for x
    x = 5,962,315.38/2,760.15
  6. Step 6: Final answer
    x = 2,160.14

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Why These Related Problems?

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