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Finding the Fourth Proportional to 2,610.27, 3,602.24 and 1,431.36

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Solution

The fourth proportional to 2,610.27, 3,602.24 and 1,431.36 is: 1,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.27 : 3,602.24 = 1,431.36 : x
  2. Step 2: Convert to fraction form
    2,610.27/3,602.24 = 1,431.36/x
  3. Step 3: Cross multiply
    2,610.27x = 3,602.24 × 1,431.36
  4. Step 4: Simplify right side
    2,610.27x = 5,156,100.46
  5. Step 5: Solve for x
    x = 5,156,100.46/2,610.27
  6. Step 6: Final answer
    x = 1,975.31

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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.