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Finding the Fourth Proportional to 2,158.29, 3,238.86 and 925.95

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Solution

The fourth proportional to 2,158.29, 3,238.86 and 925.95 is: 1,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.29 : 3,238.86 = 925.95 : x
  2. Step 2: Convert to fraction form
    2,158.29/3,238.86 = 925.95/x
  3. Step 3: Cross multiply
    2,158.29x = 3,238.86 × 925.95
  4. Step 4: Simplify right side
    2,158.29x = 2,999,022.42
  5. Step 5: Solve for x
    x = 2,999,022.42/2,158.29
  6. Step 6: Final answer
    x = 1,389.54

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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.