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Finding the Fourth Proportional to 2,158.52, 3,234.79 and 985.66

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Solution

The fourth proportional to 2,158.52, 3,234.79 and 985.66 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.52 : 3,234.79 = 985.66 : x
  2. Step 2: Convert to fraction form
    2,158.52/3,234.79 = 985.66/x
  3. Step 3: Cross multiply
    2,158.52x = 3,234.79 × 985.66
  4. Step 4: Simplify right side
    2,158.52x = 3,188,403.11
  5. Step 5: Solve for x
    x = 3,188,403.11/2,158.52
  6. Step 6: Final answer
    x = 1,477.12

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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.