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Finding the Fourth Proportional to 1,975.86, 2,726.84 and 1,136.77

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Solution

The fourth proportional to 1,975.86, 2,726.84 and 1,136.77 is: 1,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.86 : 2,726.84 = 1,136.77 : x
  2. Step 2: Convert to fraction form
    1,975.86/2,726.84 = 1,136.77/x
  3. Step 3: Cross multiply
    1,975.86x = 2,726.84 × 1,136.77
  4. Step 4: Simplify right side
    1,975.86x = 3,099,785.93
  5. Step 5: Solve for x
    x = 3,099,785.93/1,975.86
  6. Step 6: Final answer
    x = 1,568.83

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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.