Home / 1,949.40-2,924.10-1,682.10

Finding the Fourth Proportional to 1,949.40, 2,924.10 and 1,682.10

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Solution

The fourth proportional to 1,949.40, 2,924.10 and 1,682.10 is: 2,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.40 : 2,924.10 = 1,682.10 : x
  2. Step 2: Convert to fraction form
    1,949.40/2,924.10 = 1,682.10/x
  3. Step 3: Cross multiply
    1,949.40x = 2,924.10 × 1,682.10
  4. Step 4: Simplify right side
    1,949.40x = 4,918,628.61
  5. Step 5: Solve for x
    x = 4,918,628.61/1,949.40
  6. Step 6: Final answer
    x = 2,523.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.