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Finding the Fourth Proportional to 2,158.05, 3,236.86 and 925.23

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Solution

The fourth proportional to 2,158.05, 3,236.86 and 925.23 is: 1,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.05 : 3,236.86 = 925.23 : x
  2. Step 2: Convert to fraction form
    2,158.05/3,236.86 = 925.23/x
  3. Step 3: Cross multiply
    2,158.05x = 3,236.86 × 925.23
  4. Step 4: Simplify right side
    2,158.05x = 2,994,839.98
  5. Step 5: Solve for x
    x = 2,994,839.98/2,158.05
  6. Step 6: Final answer
    x = 1,387.75

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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.