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Finding the Fourth Proportional to 2,241.54, 3,362.72 and 780.57

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Solution

The fourth proportional to 2,241.54, 3,362.72 and 780.57 is: 1,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.54 : 3,362.72 = 780.57 : x
  2. Step 2: Convert to fraction form
    2,241.54/3,362.72 = 780.57/x
  3. Step 3: Cross multiply
    2,241.54x = 3,362.72 × 780.57
  4. Step 4: Simplify right side
    2,241.54x = 2,624,834.45
  5. Step 5: Solve for x
    x = 2,624,834.45/2,241.54
  6. Step 6: Final answer
    x = 1,171.00

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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.