Home / 2,982.83-4,116.45-1,656.46

Finding the Fourth Proportional to 2,982.83, 4,116.45 and 1,656.46

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Solution

The fourth proportional to 2,982.83, 4,116.45 and 1,656.46 is: 2,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.83 : 4,116.45 = 1,656.46 : x
  2. Step 2: Convert to fraction form
    2,982.83/4,116.45 = 1,656.46/x
  3. Step 3: Cross multiply
    2,982.83x = 4,116.45 × 1,656.46
  4. Step 4: Simplify right side
    2,982.83x = 6,818,734.77
  5. Step 5: Solve for x
    x = 6,818,734.77/2,982.83
  6. Step 6: Final answer
    x = 2,286.00

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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.