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Finding the Fourth Proportional to 2,772.93, 4,158.38 and 923.63

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Solution

The fourth proportional to 2,772.93, 4,158.38 and 923.63 is: 1,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.93 : 4,158.38 = 923.63 : x
  2. Step 2: Convert to fraction form
    2,772.93/4,158.38 = 923.63/x
  3. Step 3: Cross multiply
    2,772.93x = 4,158.38 × 923.63
  4. Step 4: Simplify right side
    2,772.93x = 3,840,804.52
  5. Step 5: Solve for x
    x = 3,840,804.52/2,772.93
  6. Step 6: Final answer
    x = 1,385.11

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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.