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Finding the Fourth Proportional to 2,435.50, 3,649.83 and 1,614.34

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Solution

The fourth proportional to 2,435.50, 3,649.83 and 1,614.34 is: 2,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.50 : 3,649.83 = 1,614.34 : x
  2. Step 2: Convert to fraction form
    2,435.50/3,649.83 = 1,614.34/x
  3. Step 3: Cross multiply
    2,435.50x = 3,649.83 × 1,614.34
  4. Step 4: Simplify right side
    2,435.50x = 5,892,066.56
  5. Step 5: Solve for x
    x = 5,892,066.56/2,435.50
  6. Step 6: Final answer
    x = 2,419.24

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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.