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Finding the Fourth Proportional to 2,343.85, 3,234.05 and 1,295.71

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Solution

The fourth proportional to 2,343.85, 3,234.05 and 1,295.71 is: 1,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.85 : 3,234.05 = 1,295.71 : x
  2. Step 2: Convert to fraction form
    2,343.85/3,234.05 = 1,295.71/x
  3. Step 3: Cross multiply
    2,343.85x = 3,234.05 × 1,295.71
  4. Step 4: Simplify right side
    2,343.85x = 4,190,384.45
  5. Step 5: Solve for x
    x = 4,190,384.45/2,343.85
  6. Step 6: Final answer
    x = 1,787.82

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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.