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Finding the Fourth Proportional to 2,758.69, 3,806.89 and 1,578.93

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Solution

The fourth proportional to 2,758.69, 3,806.89 and 1,578.93 is: 2,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.69 : 3,806.89 = 1,578.93 : x
  2. Step 2: Convert to fraction form
    2,758.69/3,806.89 = 1,578.93/x
  3. Step 3: Cross multiply
    2,758.69x = 3,806.89 × 1,578.93
  4. Step 4: Simplify right side
    2,758.69x = 6,010,812.83
  5. Step 5: Solve for x
    x = 6,010,812.83/2,758.69
  6. Step 6: Final answer
    x = 2,178.86

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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.