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Finding the Fourth Proportional to 2,780.60, 3,837.22 and 1,662.19

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Solution

The fourth proportional to 2,780.60, 3,837.22 and 1,662.19 is: 2,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.60 : 3,837.22 = 1,662.19 : x
  2. Step 2: Convert to fraction form
    2,780.60/3,837.22 = 1,662.19/x
  3. Step 3: Cross multiply
    2,780.60x = 3,837.22 × 1,662.19
  4. Step 4: Simplify right side
    2,780.60x = 6,378,188.71
  5. Step 5: Solve for x
    x = 6,378,188.71/2,780.60
  6. Step 6: Final answer
    x = 2,293.82

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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.