Home / 3,106.24-4,659.97-1,026.16

Finding the Fourth Proportional to 3,106.24, 4,659.97 and 1,026.16

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Solution

The fourth proportional to 3,106.24, 4,659.97 and 1,026.16 is: 1,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.24 : 4,659.97 = 1,026.16 : x
  2. Step 2: Convert to fraction form
    3,106.24/4,659.97 = 1,026.16/x
  3. Step 3: Cross multiply
    3,106.24x = 4,659.97 × 1,026.16
  4. Step 4: Simplify right side
    3,106.24x = 4,781,874.82
  5. Step 5: Solve for x
    x = 4,781,874.82/3,106.24
  6. Step 6: Final answer
    x = 1,539.44

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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.