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Finding the Fourth Proportional to 2,635.83, 3,952.20 and 1,076.58

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Solution

The fourth proportional to 2,635.83, 3,952.20 and 1,076.58 is: 1,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.83 : 3,952.20 = 1,076.58 : x
  2. Step 2: Convert to fraction form
    2,635.83/3,952.20 = 1,076.58/x
  3. Step 3: Cross multiply
    2,635.83x = 3,952.20 × 1,076.58
  4. Step 4: Simplify right side
    2,635.83x = 4,254,859.48
  5. Step 5: Solve for x
    x = 4,254,859.48/2,635.83
  6. Step 6: Final answer
    x = 1,614.24

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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.