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Finding the Fourth Proportional to 1,610.64, 2,415.92 and 1,286.64

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Solution

The fourth proportional to 1,610.64, 2,415.92 and 1,286.64 is: 1,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.64 : 2,415.92 = 1,286.64 : x
  2. Step 2: Convert to fraction form
    1,610.64/2,415.92 = 1,286.64/x
  3. Step 3: Cross multiply
    1,610.64x = 2,415.92 × 1,286.64
  4. Step 4: Simplify right side
    1,610.64x = 3,108,419.31
  5. Step 5: Solve for x
    x = 3,108,419.31/1,610.64
  6. Step 6: Final answer
    x = 1,929.93

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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.