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Finding the Fourth Proportional to 2,772.86, 4,157.90 and 923.33

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Solution

The fourth proportional to 2,772.86, 4,157.90 and 923.33 is: 1,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.86 : 4,157.90 = 923.33 : x
  2. Step 2: Convert to fraction form
    2,772.86/4,157.90 = 923.33/x
  3. Step 3: Cross multiply
    2,772.86x = 4,157.90 × 923.33
  4. Step 4: Simplify right side
    2,772.86x = 3,839,088.40
  5. Step 5: Solve for x
    x = 3,839,088.40/2,772.86
  6. Step 6: Final answer
    x = 1,384.53

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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.