Home / 2,982.86-4,116.35-1,656.57

Finding the Fourth Proportional to 2,982.86, 4,116.35 and 1,656.57

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Solution

The fourth proportional to 2,982.86, 4,116.35 and 1,656.57 is: 2,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.86 : 4,116.35 = 1,656.57 : x
  2. Step 2: Convert to fraction form
    2,982.86/4,116.35 = 1,656.57/x
  3. Step 3: Cross multiply
    2,982.86x = 4,116.35 × 1,656.57
  4. Step 4: Simplify right side
    2,982.86x = 6,819,021.92
  5. Step 5: Solve for x
    x = 6,819,021.92/2,982.86
  6. Step 6: Final answer
    x = 2,286.07

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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.