Home / 2,983.10-4,116.38-1,656.48

Finding the Fourth Proportional to 2,983.10, 4,116.38 and 1,656.48

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Solution

The fourth proportional to 2,983.10, 4,116.38 and 1,656.48 is: 2,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.10 : 4,116.38 = 1,656.48 : x
  2. Step 2: Convert to fraction form
    2,983.10/4,116.38 = 1,656.48/x
  3. Step 3: Cross multiply
    2,983.10x = 4,116.38 × 1,656.48
  4. Step 4: Simplify right side
    2,983.10x = 6,818,701.14
  5. Step 5: Solve for x
    x = 6,818,701.14/2,983.10
  6. Step 6: Final answer
    x = 2,285.78

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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.