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Finding the Fourth Proportional to 3,103.80, 4,659.30 and 1,642.20

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Solution

The fourth proportional to 3,103.80, 4,659.30 and 1,642.20 is: 2,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.80 : 4,659.30 = 1,642.20 : x
  2. Step 2: Convert to fraction form
    3,103.80/4,659.30 = 1,642.20/x
  3. Step 3: Cross multiply
    3,103.80x = 4,659.30 × 1,642.20
  4. Step 4: Simplify right side
    3,103.80x = 7,651,502.46
  5. Step 5: Solve for x
    x = 7,651,502.46/3,103.80
  6. Step 6: Final answer
    x = 2,465.20

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