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Finding the Fourth Proportional to 2,016.13, 2,782.19 and 1,119.91

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Solution

The fourth proportional to 2,016.13, 2,782.19 and 1,119.91 is: 1,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.13 : 2,782.19 = 1,119.91 : x
  2. Step 2: Convert to fraction form
    2,016.13/2,782.19 = 1,119.91/x
  3. Step 3: Cross multiply
    2,016.13x = 2,782.19 × 1,119.91
  4. Step 4: Simplify right side
    2,016.13x = 3,115,782.89
  5. Step 5: Solve for x
    x = 3,115,782.89/2,016.13
  6. Step 6: Final answer
    x = 1,545.43

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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.