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Finding the Fourth Proportional to 2,616.80, 3,610.41 and 2,174

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Solution

The fourth proportional to 2,616.80, 3,610.41 and 2,174 is: 2,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.80 : 3,610.41 = 2,174 : x
  2. Step 2: Convert to fraction form
    2,616.80/3,610.41 = 2,174/x
  3. Step 3: Cross multiply
    2,616.80x = 3,610.41 × 2,174
  4. Step 4: Simplify right side
    2,616.80x = 7,849,031.34
  5. Step 5: Solve for x
    x = 7,849,031.34/2,616.80
  6. Step 6: Final answer
    x = 2,999.48

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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.