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Finding the Fourth Proportional to 2,156.30, 3,233.91 and 596.23

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Solution

The fourth proportional to 2,156.30, 3,233.91 and 596.23 is: 894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.30 : 3,233.91 = 596.23 : x
  2. Step 2: Convert to fraction form
    2,156.30/3,233.91 = 596.23/x
  3. Step 3: Cross multiply
    2,156.30x = 3,233.91 × 596.23
  4. Step 4: Simplify right side
    2,156.30x = 1,928,154.16
  5. Step 5: Solve for x
    x = 1,928,154.16/2,156.30
  6. Step 6: Final answer
    x = 894.20

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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.