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Finding the Fourth Proportional to 2,262.58, 3,390.22 and 1,610.13

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Solution

The fourth proportional to 2,262.58, 3,390.22 and 1,610.13 is: 2,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.58 : 3,390.22 = 1,610.13 : x
  2. Step 2: Convert to fraction form
    2,262.58/3,390.22 = 1,610.13/x
  3. Step 3: Cross multiply
    2,262.58x = 3,390.22 × 1,610.13
  4. Step 4: Simplify right side
    2,262.58x = 5,458,694.93
  5. Step 5: Solve for x
    x = 5,458,694.93/2,262.58
  6. Step 6: Final answer
    x = 2,412.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.