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Finding the Fourth Proportional to 2,434.35, 3,649.09 and 951.54

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Solution

The fourth proportional to 2,434.35, 3,649.09 and 951.54 is: 1,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.35 : 3,649.09 = 951.54 : x
  2. Step 2: Convert to fraction form
    2,434.35/3,649.09 = 951.54/x
  3. Step 3: Cross multiply
    2,434.35x = 3,649.09 × 951.54
  4. Step 4: Simplify right side
    2,434.35x = 3,472,255.10
  5. Step 5: Solve for x
    x = 3,472,255.10/2,434.35
  6. Step 6: Final answer
    x = 1,426.36

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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.