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Finding the Fourth Proportional to 2,386.41, 3,578.25 and 923.86

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Solution

The fourth proportional to 2,386.41, 3,578.25 and 923.86 is: 1,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.41 : 3,578.25 = 923.86 : x
  2. Step 2: Convert to fraction form
    2,386.41/3,578.25 = 923.86/x
  3. Step 3: Cross multiply
    2,386.41x = 3,578.25 × 923.86
  4. Step 4: Simplify right side
    2,386.41x = 3,305,787.26
  5. Step 5: Solve for x
    x = 3,305,787.26/2,386.41
  6. Step 6: Final answer
    x = 1,385.25

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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.