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Finding the Fourth Proportional to 2,292.30, 3,437.24 and 992.25

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Solution

The fourth proportional to 2,292.30, 3,437.24 and 992.25 is: 1,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.30 : 3,437.24 = 992.25 : x
  2. Step 2: Convert to fraction form
    2,292.30/3,437.24 = 992.25/x
  3. Step 3: Cross multiply
    2,292.30x = 3,437.24 × 992.25
  4. Step 4: Simplify right side
    2,292.30x = 3,410,596.43
  5. Step 5: Solve for x
    x = 3,410,596.43/2,292.30
  6. Step 6: Final answer
    x = 1,487.85

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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.