Home / 2,982.52-4,116-1,656.28

Finding the Fourth Proportional to 2,982.52, 4,116 and 1,656.28

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Solution

The fourth proportional to 2,982.52, 4,116 and 1,656.28 is: 2,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.52 : 4,116 = 1,656.28 : x
  2. Step 2: Convert to fraction form
    2,982.52/4,116 = 1,656.28/x
  3. Step 3: Cross multiply
    2,982.52x = 4,116 × 1,656.28
  4. Step 4: Simplify right side
    2,982.52x = 6,817,248.48
  5. Step 5: Solve for x
    x = 6,817,248.48/2,982.52
  6. Step 6: Final answer
    x = 2,285.73

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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.