Home / 2,982.74-4,116-1,656.42

Finding the Fourth Proportional to 2,982.74, 4,116 and 1,656.42

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Solution

The fourth proportional to 2,982.74, 4,116 and 1,656.42 is: 2,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.74 : 4,116 = 1,656.42 : x
  2. Step 2: Convert to fraction form
    2,982.74/4,116 = 1,656.42/x
  3. Step 3: Cross multiply
    2,982.74x = 4,116 × 1,656.42
  4. Step 4: Simplify right side
    2,982.74x = 6,817,824.72
  5. Step 5: Solve for x
    x = 6,817,824.72/2,982.74
  6. Step 6: Final answer
    x = 2,285.76

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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.