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Finding the Fourth Proportional to 2,649.36, 3,972.84 and 1,416.56

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Solution

The fourth proportional to 2,649.36, 3,972.84 and 1,416.56 is: 2,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.36 : 3,972.84 = 1,416.56 : x
  2. Step 2: Convert to fraction form
    2,649.36/3,972.84 = 1,416.56/x
  3. Step 3: Cross multiply
    2,649.36x = 3,972.84 × 1,416.56
  4. Step 4: Simplify right side
    2,649.36x = 5,627,766.23
  5. Step 5: Solve for x
    x = 5,627,766.23/2,649.36
  6. Step 6: Final answer
    x = 2,124.20

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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.