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Finding the Fourth Proportional to 2,262.18, 3,392.40 and 780.97

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Solution

The fourth proportional to 2,262.18, 3,392.40 and 780.97 is: 1,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.18 : 3,392.40 = 780.97 : x
  2. Step 2: Convert to fraction form
    2,262.18/3,392.40 = 780.97/x
  3. Step 3: Cross multiply
    2,262.18x = 3,392.40 × 780.97
  4. Step 4: Simplify right side
    2,262.18x = 2,649,362.63
  5. Step 5: Solve for x
    x = 2,649,362.63/2,262.18
  6. Step 6: Final answer
    x = 1,171.15

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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.