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Finding the Fourth Proportional to 2,610.14, 3,602 and 1,431.22

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Solution

The fourth proportional to 2,610.14, 3,602 and 1,431.22 is: 1,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.14 : 3,602 = 1,431.22 : x
  2. Step 2: Convert to fraction form
    2,610.14/3,602 = 1,431.22/x
  3. Step 3: Cross multiply
    2,610.14x = 3,602 × 1,431.22
  4. Step 4: Simplify right side
    2,610.14x = 5,155,254.44
  5. Step 5: Solve for x
    x = 5,155,254.44/2,610.14
  6. Step 6: Final answer
    x = 1,975.09

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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.