Home / 3,101.42-4,649.30-1,020.12

Finding the Fourth Proportional to 3,101.42, 4,649.30 and 1,020.12

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Solution

The fourth proportional to 3,101.42, 4,649.30 and 1,020.12 is: 1,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.42 : 4,649.30 = 1,020.12 : x
  2. Step 2: Convert to fraction form
    3,101.42/4,649.30 = 1,020.12/x
  3. Step 3: Cross multiply
    3,101.42x = 4,649.30 × 1,020.12
  4. Step 4: Simplify right side
    3,101.42x = 4,742,843.92
  5. Step 5: Solve for x
    x = 4,742,843.92/3,101.42
  6. Step 6: Final answer
    x = 1,529.25

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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.