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Finding the Fourth Proportional to 2,772.87, 4,159.85 and 923.96

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Solution

The fourth proportional to 2,772.87, 4,159.85 and 923.96 is: 1,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.87 : 4,159.85 = 923.96 : x
  2. Step 2: Convert to fraction form
    2,772.87/4,159.85 = 923.96/x
  3. Step 3: Cross multiply
    2,772.87x = 4,159.85 × 923.96
  4. Step 4: Simplify right side
    2,772.87x = 3,843,509.59
  5. Step 5: Solve for x
    x = 3,843,509.59/2,772.87
  6. Step 6: Final answer
    x = 1,386.11

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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.