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Finding the Fourth Proportional to 2,048.05, 2,832.23 and 2,011.16

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Solution

The fourth proportional to 2,048.05, 2,832.23 and 2,011.16 is: 2,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.05 : 2,832.23 = 2,011.16 : x
  2. Step 2: Convert to fraction form
    2,048.05/2,832.23 = 2,011.16/x
  3. Step 3: Cross multiply
    2,048.05x = 2,832.23 × 2,011.16
  4. Step 4: Simplify right side
    2,048.05x = 5,696,079.80
  5. Step 5: Solve for x
    x = 5,696,079.80/2,048.05
  6. Step 6: Final answer
    x = 2,781.22

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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.