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Finding the Fourth Proportional to 2,610.33, 3,602.09 and 1,431.17

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Solution

The fourth proportional to 2,610.33, 3,602.09 and 1,431.17 is: 1,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.33 : 3,602.09 = 1,431.17 : x
  2. Step 2: Convert to fraction form
    2,610.33/3,602.09 = 1,431.17/x
  3. Step 3: Cross multiply
    2,610.33x = 3,602.09 × 1,431.17
  4. Step 4: Simplify right side
    2,610.33x = 5,155,177.98
  5. Step 5: Solve for x
    x = 5,155,177.98/2,610.33
  6. Step 6: Final answer
    x = 1,974.91

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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.