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Finding the Fourth Proportional to 2,682.01, 4,022.72 and 707.84

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Solution

The fourth proportional to 2,682.01, 4,022.72 and 707.84 is: 1,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.01 : 4,022.72 = 707.84 : x
  2. Step 2: Convert to fraction form
    2,682.01/4,022.72 = 707.84/x
  3. Step 3: Cross multiply
    2,682.01x = 4,022.72 × 707.84
  4. Step 4: Simplify right side
    2,682.01x = 2,847,442.12
  5. Step 5: Solve for x
    x = 2,847,442.12/2,682.01
  6. Step 6: Final answer
    x = 1,061.68

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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.