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Finding the Fourth Proportional to 2,448.10, 3,670.80 and 803.80

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Solution

The fourth proportional to 2,448.10, 3,670.80 and 803.80 is: 1,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.10 : 3,670.80 = 803.80 : x
  2. Step 2: Convert to fraction form
    2,448.10/3,670.80 = 803.80/x
  3. Step 3: Cross multiply
    2,448.10x = 3,670.80 × 803.80
  4. Step 4: Simplify right side
    2,448.10x = 2,950,589.04
  5. Step 5: Solve for x
    x = 2,950,589.04/2,448.10
  6. Step 6: Final answer
    x = 1,205.26

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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.