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Finding the Fourth Proportional to 2,386.27, 3,578.71 and 826.21

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Solution

The fourth proportional to 2,386.27, 3,578.71 and 826.21 is: 1,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.27 : 3,578.71 = 826.21 : x
  2. Step 2: Convert to fraction form
    2,386.27/3,578.71 = 826.21/x
  3. Step 3: Cross multiply
    2,386.27x = 3,578.71 × 826.21
  4. Step 4: Simplify right side
    2,386.27x = 2,956,758.08
  5. Step 5: Solve for x
    x = 2,956,758.08/2,386.27
  6. Step 6: Final answer
    x = 1,239.07

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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.