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Finding the Fourth Proportional to 2,783.46, 4,178.00 and 2,468.91

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Solution

The fourth proportional to 2,783.46, 4,178.00 and 2,468.91 is: 3,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.46 : 4,178.00 = 2,468.91 : x
  2. Step 2: Convert to fraction form
    2,783.46/4,178.00 = 2,468.91/x
  3. Step 3: Cross multiply
    2,783.46x = 4,178.00 × 2,468.91
  4. Step 4: Simplify right side
    2,783.46x = 10,315,112.15
  5. Step 5: Solve for x
    x = 10,315,112.15/2,783.46
  6. Step 6: Final answer
    x = 3,705.86

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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.