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Finding the Fourth Proportional to 2,448.81, 3,381.21 and 1,505.90

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Solution

The fourth proportional to 2,448.81, 3,381.21 and 1,505.90 is: 2,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.81 : 3,381.21 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    2,448.81/3,381.21 = 1,505.90/x
  3. Step 3: Cross multiply
    2,448.81x = 3,381.21 × 1,505.90
  4. Step 4: Simplify right side
    2,448.81x = 5,091,747.23
  5. Step 5: Solve for x
    x = 5,091,747.23/2,448.81
  6. Step 6: Final answer
    x = 2,079.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.