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Finding the Fourth Proportional to 2,118.65, 2,921.83 and 1,371.83

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Solution

The fourth proportional to 2,118.65, 2,921.83 and 1,371.83 is: 1,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.65 : 2,921.83 = 1,371.83 : x
  2. Step 2: Convert to fraction form
    2,118.65/2,921.83 = 1,371.83/x
  3. Step 3: Cross multiply
    2,118.65x = 2,921.83 × 1,371.83
  4. Step 4: Simplify right side
    2,118.65x = 4,008,254.05
  5. Step 5: Solve for x
    x = 4,008,254.05/2,118.65
  6. Step 6: Final answer
    x = 1,891.89

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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.