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Finding the Fourth Proportional to 2,069.17, 3,103.95 and 682.52

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Solution

The fourth proportional to 2,069.17, 3,103.95 and 682.52 is: 1,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.17 : 3,103.95 = 682.52 : x
  2. Step 2: Convert to fraction form
    2,069.17/3,103.95 = 682.52/x
  3. Step 3: Cross multiply
    2,069.17x = 3,103.95 × 682.52
  4. Step 4: Simplify right side
    2,069.17x = 2,118,507.95
  5. Step 5: Solve for x
    x = 2,118,507.95/2,069.17
  6. Step 6: Final answer
    x = 1,023.84

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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.