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Finding the Fourth Proportional to 2,241.18, 3,360.36 and 780.45

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Solution

The fourth proportional to 2,241.18, 3,360.36 and 780.45 is: 1,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.18 : 3,360.36 = 780.45 : x
  2. Step 2: Convert to fraction form
    2,241.18/3,360.36 = 780.45/x
  3. Step 3: Cross multiply
    2,241.18x = 3,360.36 × 780.45
  4. Step 4: Simplify right side
    2,241.18x = 2,622,592.96
  5. Step 5: Solve for x
    x = 2,622,592.96/2,241.18
  6. Step 6: Final answer
    x = 1,170.18

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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.