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Finding the Fourth Proportional to 2,326.21, 3,488.95 and 682.59

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Solution

The fourth proportional to 2,326.21, 3,488.95 and 682.59 is: 1,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.21 : 3,488.95 = 682.59 : x
  2. Step 2: Convert to fraction form
    2,326.21/3,488.95 = 682.59/x
  3. Step 3: Cross multiply
    2,326.21x = 3,488.95 × 682.59
  4. Step 4: Simplify right side
    2,326.21x = 2,381,522.38
  5. Step 5: Solve for x
    x = 2,381,522.38/2,326.21
  6. Step 6: Final answer
    x = 1,023.78

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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.