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Finding the Fourth Proportional to 2,298.72, 3,448.80 and 2,161.20

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Solution

The fourth proportional to 2,298.72, 3,448.80 and 2,161.20 is: 3,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.72 : 3,448.80 = 2,161.20 : x
  2. Step 2: Convert to fraction form
    2,298.72/3,448.80 = 2,161.20/x
  3. Step 3: Cross multiply
    2,298.72x = 3,448.80 × 2,161.20
  4. Step 4: Simplify right side
    2,298.72x = 7,453,546.56
  5. Step 5: Solve for x
    x = 7,453,546.56/2,298.72
  6. Step 6: Final answer
    x = 3,242.48

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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.