Home / 2,021.20-3,032.40-705.16

Finding the Fourth Proportional to 2,021.20, 3,032.40 and 705.16

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Solution

The fourth proportional to 2,021.20, 3,032.40 and 705.16 is: 1,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.20 : 3,032.40 = 705.16 : x
  2. Step 2: Convert to fraction form
    2,021.20/3,032.40 = 705.16/x
  3. Step 3: Cross multiply
    2,021.20x = 3,032.40 × 705.16
  4. Step 4: Simplify right side
    2,021.20x = 2,138,327.18
  5. Step 5: Solve for x
    x = 2,138,327.18/2,021.20
  6. Step 6: Final answer
    x = 1,057.95

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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.