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Finding the Fourth Proportional to 2,158.71, 3,238.24 and 598.71

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Solution

The fourth proportional to 2,158.71, 3,238.24 and 598.71 is: 898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.71 : 3,238.24 = 598.71 : x
  2. Step 2: Convert to fraction form
    2,158.71/3,238.24 = 598.71/x
  3. Step 3: Cross multiply
    2,158.71x = 3,238.24 × 598.71
  4. Step 4: Simplify right side
    2,158.71x = 1,938,760.22
  5. Step 5: Solve for x
    x = 1,938,760.22/2,158.71
  6. Step 6: Final answer
    x = 898.11

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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.