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Finding the Fourth Proportional to 2,297.40, 3,438.90 and 1,649.40

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Solution

The fourth proportional to 2,297.40, 3,438.90 and 1,649.40 is: 2,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.40 : 3,438.90 = 1,649.40 : x
  2. Step 2: Convert to fraction form
    2,297.40/3,438.90 = 1,649.40/x
  3. Step 3: Cross multiply
    2,297.40x = 3,438.90 × 1,649.40
  4. Step 4: Simplify right side
    2,297.40x = 5,672,121.66
  5. Step 5: Solve for x
    x = 5,672,121.66/2,297.40
  6. Step 6: Final answer
    x = 2,468.93

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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.