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Finding the Fourth Proportional to 2,387.23, 3,579.81 and 826.95

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Solution

The fourth proportional to 2,387.23, 3,579.81 and 826.95 is: 1,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.23 : 3,579.81 = 826.95 : x
  2. Step 2: Convert to fraction form
    2,387.23/3,579.81 = 826.95/x
  3. Step 3: Cross multiply
    2,387.23x = 3,579.81 × 826.95
  4. Step 4: Simplify right side
    2,387.23x = 2,960,323.88
  5. Step 5: Solve for x
    x = 2,960,323.88/2,387.23
  6. Step 6: Final answer
    x = 1,240.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.