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Finding the Fourth Proportional to 1,641.75, 2,262.91 and 1,162.59

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Solution

The fourth proportional to 1,641.75, 2,262.91 and 1,162.59 is: 1,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.75 : 2,262.91 = 1,162.59 : x
  2. Step 2: Convert to fraction form
    1,641.75/2,262.91 = 1,162.59/x
  3. Step 3: Cross multiply
    1,641.75x = 2,262.91 × 1,162.59
  4. Step 4: Simplify right side
    1,641.75x = 2,630,836.54
  5. Step 5: Solve for x
    x = 2,630,836.54/1,641.75
  6. Step 6: Final answer
    x = 1,602.46

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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.