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Finding the Fourth Proportional to 2,324.22, 3,484.17 and 1,297.50

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Solution

The fourth proportional to 2,324.22, 3,484.17 and 1,297.50 is: 1,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.22 : 3,484.17 = 1,297.50 : x
  2. Step 2: Convert to fraction form
    2,324.22/3,484.17 = 1,297.50/x
  3. Step 3: Cross multiply
    2,324.22x = 3,484.17 × 1,297.50
  4. Step 4: Simplify right side
    2,324.22x = 4,520,710.58
  5. Step 5: Solve for x
    x = 4,520,710.58/2,324.22
  6. Step 6: Final answer
    x = 1,945.04

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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.