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Finding the Fourth Proportional to 2,398.22, 3,597.34 and 1,371.50

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Solution

The fourth proportional to 2,398.22, 3,597.34 and 1,371.50 is: 2,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.22 : 3,597.34 = 1,371.50 : x
  2. Step 2: Convert to fraction form
    2,398.22/3,597.34 = 1,371.50/x
  3. Step 3: Cross multiply
    2,398.22x = 3,597.34 × 1,371.50
  4. Step 4: Simplify right side
    2,398.22x = 4,933,751.81
  5. Step 5: Solve for x
    x = 4,933,751.81/2,398.22
  6. Step 6: Final answer
    x = 2,057.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.