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Finding the Fourth Proportional to 3,111.65, 4,665.14 and 1,878.80

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Solution

The fourth proportional to 3,111.65, 4,665.14 and 1,878.80 is: 2,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.65 : 4,665.14 = 1,878.80 : x
  2. Step 2: Convert to fraction form
    3,111.65/4,665.14 = 1,878.80/x
  3. Step 3: Cross multiply
    3,111.65x = 4,665.14 × 1,878.80
  4. Step 4: Simplify right side
    3,111.65x = 8,764,865.03
  5. Step 5: Solve for x
    x = 8,764,865.03/3,111.65
  6. Step 6: Final answer
    x = 2,816.79

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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.