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Finding the Fourth Proportional to 2,610.96, 3,896.19 and 2,334

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Solution

The fourth proportional to 2,610.96, 3,896.19 and 2,334 is: 3,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.96 : 3,896.19 = 2,334 : x
  2. Step 2: Convert to fraction form
    2,610.96/3,896.19 = 2,334/x
  3. Step 3: Cross multiply
    2,610.96x = 3,896.19 × 2,334
  4. Step 4: Simplify right side
    2,610.96x = 9,093,707.46
  5. Step 5: Solve for x
    x = 9,093,707.46/2,610.96
  6. Step 6: Final answer
    x = 3,482.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.