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Finding the Fourth Proportional to 2,772.74, 4,159.52 and 923.92

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Solution

The fourth proportional to 2,772.74, 4,159.52 and 923.92 is: 1,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.74 : 4,159.52 = 923.92 : x
  2. Step 2: Convert to fraction form
    2,772.74/4,159.52 = 923.92/x
  3. Step 3: Cross multiply
    2,772.74x = 4,159.52 × 923.92
  4. Step 4: Simplify right side
    2,772.74x = 3,843,063.72
  5. Step 5: Solve for x
    x = 3,843,063.72/2,772.74
  6. Step 6: Final answer
    x = 1,386.02

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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.