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Finding the Fourth Proportional to 2,234.14, 3,350 and 934.64

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Solution

The fourth proportional to 2,234.14, 3,350 and 934.64 is: 1,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.14 : 3,350 = 934.64 : x
  2. Step 2: Convert to fraction form
    2,234.14/3,350 = 934.64/x
  3. Step 3: Cross multiply
    2,234.14x = 3,350 × 934.64
  4. Step 4: Simplify right side
    2,234.14x = 3,131,044
  5. Step 5: Solve for x
    x = 3,131,044/2,234.14
  6. Step 6: Final answer
    x = 1,401.45

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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.