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Finding the Fourth Proportional to 2,628.23, 3,616.22 and 2,154.38

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Solution

The fourth proportional to 2,628.23, 3,616.22 and 2,154.38 is: 2,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.23 : 3,616.22 = 2,154.38 : x
  2. Step 2: Convert to fraction form
    2,628.23/3,616.22 = 2,154.38/x
  3. Step 3: Cross multiply
    2,628.23x = 3,616.22 × 2,154.38
  4. Step 4: Simplify right side
    2,628.23x = 7,790,699.35
  5. Step 5: Solve for x
    x = 7,790,699.35/2,628.23
  6. Step 6: Final answer
    x = 2,964.24

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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.