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Finding the Fourth Proportional to 2,300.81, 3,448.78 and 1,144.13

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Solution

The fourth proportional to 2,300.81, 3,448.78 and 1,144.13 is: 1,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.81 : 3,448.78 = 1,144.13 : x
  2. Step 2: Convert to fraction form
    2,300.81/3,448.78 = 1,144.13/x
  3. Step 3: Cross multiply
    2,300.81x = 3,448.78 × 1,144.13
  4. Step 4: Simplify right side
    2,300.81x = 3,945,832.56
  5. Step 5: Solve for x
    x = 3,945,832.56/2,300.81
  6. Step 6: Final answer
    x = 1,714.98

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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.