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Finding the Fourth Proportional to 2,344.83, 3,234.87 and 1,505.28

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Solution

The fourth proportional to 2,344.83, 3,234.87 and 1,505.28 is: 2,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.83 : 3,234.87 = 1,505.28 : x
  2. Step 2: Convert to fraction form
    2,344.83/3,234.87 = 1,505.28/x
  3. Step 3: Cross multiply
    2,344.83x = 3,234.87 × 1,505.28
  4. Step 4: Simplify right side
    2,344.83x = 4,869,385.11
  5. Step 5: Solve for x
    x = 4,869,385.11/2,344.83
  6. Step 6: Final answer
    x = 2,076.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.