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Finding the Fourth Proportional to 2,448.45, 3,670.65 and 1,294.20

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Solution

The fourth proportional to 2,448.45, 3,670.65 and 1,294.20 is: 1,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.45 : 3,670.65 = 1,294.20 : x
  2. Step 2: Convert to fraction form
    2,448.45/3,670.65 = 1,294.20/x
  3. Step 3: Cross multiply
    2,448.45x = 3,670.65 × 1,294.20
  4. Step 4: Simplify right side
    2,448.45x = 4,750,555.23
  5. Step 5: Solve for x
    x = 4,750,555.23/2,448.45
  6. Step 6: Final answer
    x = 1,940.23

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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.