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Finding the Fourth Proportional to 3,156.29, 4,732.86 and 1,840.49

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Solution

The fourth proportional to 3,156.29, 4,732.86 and 1,840.49 is: 2,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.29 : 4,732.86 = 1,840.49 : x
  2. Step 2: Convert to fraction form
    3,156.29/4,732.86 = 1,840.49/x
  3. Step 3: Cross multiply
    3,156.29x = 4,732.86 × 1,840.49
  4. Step 4: Simplify right side
    3,156.29x = 8,710,772.30
  5. Step 5: Solve for x
    x = 8,710,772.30/3,156.29
  6. Step 6: Final answer
    x = 2,759.82

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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.