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Finding the Fourth Proportional to 3,098.51, 4,275.96 and 1,682.20

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Solution

The fourth proportional to 3,098.51, 4,275.96 and 1,682.20 is: 2,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.51 : 4,275.96 = 1,682.20 : x
  2. Step 2: Convert to fraction form
    3,098.51/4,275.96 = 1,682.20/x
  3. Step 3: Cross multiply
    3,098.51x = 4,275.96 × 1,682.20
  4. Step 4: Simplify right side
    3,098.51x = 7,193,019.91
  5. Step 5: Solve for x
    x = 7,193,019.91/3,098.51
  6. Step 6: Final answer
    x = 2,321.44

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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.