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Finding the Fourth Proportional to 3,028.40, 4,177.30 and 1,908.40

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Solution

The fourth proportional to 3,028.40, 4,177.30 and 1,908.40 is: 2,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.40 : 4,177.30 = 1,908.40 : x
  2. Step 2: Convert to fraction form
    3,028.40/4,177.30 = 1,908.40/x
  3. Step 3: Cross multiply
    3,028.40x = 4,177.30 × 1,908.40
  4. Step 4: Simplify right side
    3,028.40x = 7,971,959.32
  5. Step 5: Solve for x
    x = 7,971,959.32/3,028.40
  6. Step 6: Final answer
    x = 2,632.40

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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.