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Finding the Fourth Proportional to 2,077.65, 2,860.92 and 1,722.47

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Solution

The fourth proportional to 2,077.65, 2,860.92 and 1,722.47 is: 2,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.65 : 2,860.92 = 1,722.47 : x
  2. Step 2: Convert to fraction form
    2,077.65/2,860.92 = 1,722.47/x
  3. Step 3: Cross multiply
    2,077.65x = 2,860.92 × 1,722.47
  4. Step 4: Simplify right side
    2,077.65x = 4,927,834.57
  5. Step 5: Solve for x
    x = 4,927,834.57/2,077.65
  6. Step 6: Final answer
    x = 2,371.83

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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.