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Finding the Fourth Proportional to 2,386.05, 3,578.22 and 925.71

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Solution

The fourth proportional to 2,386.05, 3,578.22 and 925.71 is: 1,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.05 : 3,578.22 = 925.71 : x
  2. Step 2: Convert to fraction form
    2,386.05/3,578.22 = 925.71/x
  3. Step 3: Cross multiply
    2,386.05x = 3,578.22 × 925.71
  4. Step 4: Simplify right side
    2,386.05x = 3,312,394.04
  5. Step 5: Solve for x
    x = 3,312,394.04/2,386.05
  6. Step 6: Final answer
    x = 1,388.23

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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.