Home / 3,109.32-4,662.60-1,648.14

Finding the Fourth Proportional to 3,109.32, 4,662.60 and 1,648.14

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Solution

The fourth proportional to 3,109.32, 4,662.60 and 1,648.14 is: 2,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.32 : 4,662.60 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    3,109.32/4,662.60 = 1,648.14/x
  3. Step 3: Cross multiply
    3,109.32x = 4,662.60 × 1,648.14
  4. Step 4: Simplify right side
    3,109.32x = 7,684,617.56
  5. Step 5: Solve for x
    x = 7,684,617.56/3,109.32
  6. Step 6: Final answer
    x = 2,471.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.