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Finding the Fourth Proportional to 1,971.81, 2,718.54 and 1,616.42

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Solution

The fourth proportional to 1,971.81, 2,718.54 and 1,616.42 is: 2,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.81 : 2,718.54 = 1,616.42 : x
  2. Step 2: Convert to fraction form
    1,971.81/2,718.54 = 1,616.42/x
  3. Step 3: Cross multiply
    1,971.81x = 2,718.54 × 1,616.42
  4. Step 4: Simplify right side
    1,971.81x = 4,394,288.83
  5. Step 5: Solve for x
    x = 4,394,288.83/1,971.81
  6. Step 6: Final answer
    x = 2,228.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.