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Finding the Fourth Proportional to 2,234.16, 3,347.82 and 934.92

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Solution

The fourth proportional to 2,234.16, 3,347.82 and 934.92 is: 1,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.16 : 3,347.82 = 934.92 : x
  2. Step 2: Convert to fraction form
    2,234.16/3,347.82 = 934.92/x
  3. Step 3: Cross multiply
    2,234.16x = 3,347.82 × 934.92
  4. Step 4: Simplify right side
    2,234.16x = 3,129,943.87
  5. Step 5: Solve for x
    x = 3,129,943.87/2,234.16
  6. Step 6: Final answer
    x = 1,400.95

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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.