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Finding the Fourth Proportional to 2,386.18, 3,578.68 and 826.23

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Solution

The fourth proportional to 2,386.18, 3,578.68 and 826.23 is: 1,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.18 : 3,578.68 = 826.23 : x
  2. Step 2: Convert to fraction form
    2,386.18/3,578.68 = 826.23/x
  3. Step 3: Cross multiply
    2,386.18x = 3,578.68 × 826.23
  4. Step 4: Simplify right side
    2,386.18x = 2,956,827.23
  5. Step 5: Solve for x
    x = 2,956,827.23/2,386.18
  6. Step 6: Final answer
    x = 1,239.15

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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.