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Finding the Fourth Proportional to 1,847.57, 2,767.70 and 1,385.87

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Solution

The fourth proportional to 1,847.57, 2,767.70 and 1,385.87 is: 2,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.57 : 2,767.70 = 1,385.87 : x
  2. Step 2: Convert to fraction form
    1,847.57/2,767.70 = 1,385.87/x
  3. Step 3: Cross multiply
    1,847.57x = 2,767.70 × 1,385.87
  4. Step 4: Simplify right side
    1,847.57x = 3,835,662.03
  5. Step 5: Solve for x
    x = 3,835,662.03/1,847.57
  6. Step 6: Final answer
    x = 2,076.06

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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.