Home / 2,982.57-4,115.86-1,706.48

Finding the Fourth Proportional to 2,982.57, 4,115.86 and 1,706.48

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Solution

The fourth proportional to 2,982.57, 4,115.86 and 1,706.48 is: 2,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.57 : 4,115.86 = 1,706.48 : x
  2. Step 2: Convert to fraction form
    2,982.57/4,115.86 = 1,706.48/x
  3. Step 3: Cross multiply
    2,982.57x = 4,115.86 × 1,706.48
  4. Step 4: Simplify right side
    2,982.57x = 7,023,656.11
  5. Step 5: Solve for x
    x = 7,023,656.11/2,982.57
  6. Step 6: Final answer
    x = 2,354.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.