Home / 2,828.42-3,903.29-1,649.06

Finding the Fourth Proportional to 2,828.42, 3,903.29 and 1,649.06

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Solution

The fourth proportional to 2,828.42, 3,903.29 and 1,649.06 is: 2,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.42 : 3,903.29 = 1,649.06 : x
  2. Step 2: Convert to fraction form
    2,828.42/3,903.29 = 1,649.06/x
  3. Step 3: Cross multiply
    2,828.42x = 3,903.29 × 1,649.06
  4. Step 4: Simplify right side
    2,828.42x = 6,436,731.65
  5. Step 5: Solve for x
    x = 6,436,731.65/2,828.42
  6. Step 6: Final answer
    x = 2,275.74

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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.