Home / 2,982.70-4,116.09-1,656.40

Finding the Fourth Proportional to 2,982.70, 4,116.09 and 1,656.40

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Solution

The fourth proportional to 2,982.70, 4,116.09 and 1,656.40 is: 2,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.70 : 4,116.09 = 1,656.40 : x
  2. Step 2: Convert to fraction form
    2,982.70/4,116.09 = 1,656.40/x
  3. Step 3: Cross multiply
    2,982.70x = 4,116.09 × 1,656.40
  4. Step 4: Simplify right side
    2,982.70x = 6,817,891.48
  5. Step 5: Solve for x
    x = 6,817,891.48/2,982.70
  6. Step 6: Final answer
    x = 2,285.81

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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.