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Finding the Fourth Proportional to 2,240.49, 3,362.08 and 780.67

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Solution

The fourth proportional to 2,240.49, 3,362.08 and 780.67 is: 1,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.49 : 3,362.08 = 780.67 : x
  2. Step 2: Convert to fraction form
    2,240.49/3,362.08 = 780.67/x
  3. Step 3: Cross multiply
    2,240.49x = 3,362.08 × 780.67
  4. Step 4: Simplify right side
    2,240.49x = 2,624,674.99
  5. Step 5: Solve for x
    x = 2,624,674.99/2,240.49
  6. Step 6: Final answer
    x = 1,171.47

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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.