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Finding the Fourth Proportional to 2,069.91, 3,104.18 and 682.91

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Solution

The fourth proportional to 2,069.91, 3,104.18 and 682.91 is: 1,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.91 : 3,104.18 = 682.91 : x
  2. Step 2: Convert to fraction form
    2,069.91/3,104.18 = 682.91/x
  3. Step 3: Cross multiply
    2,069.91x = 3,104.18 × 682.91
  4. Step 4: Simplify right side
    2,069.91x = 2,119,875.56
  5. Step 5: Solve for x
    x = 2,119,875.56/2,069.91
  6. Step 6: Final answer
    x = 1,024.14

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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.