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Finding the Fourth Proportional to 2,386.52, 3,578.20 and 923.92

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Solution

The fourth proportional to 2,386.52, 3,578.20 and 923.92 is: 1,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.52 : 3,578.20 = 923.92 : x
  2. Step 2: Convert to fraction form
    2,386.52/3,578.20 = 923.92/x
  3. Step 3: Cross multiply
    2,386.52x = 3,578.20 × 923.92
  4. Step 4: Simplify right side
    2,386.52x = 3,305,970.54
  5. Step 5: Solve for x
    x = 3,305,970.54/2,386.52
  6. Step 6: Final answer
    x = 1,385.27

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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.