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Finding the Fourth Proportional to 1,787.77, 2,679.83 and 1,094

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Solution

The fourth proportional to 1,787.77, 2,679.83 and 1,094 is: 1,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.77 : 2,679.83 = 1,094 : x
  2. Step 2: Convert to fraction form
    1,787.77/2,679.83 = 1,094/x
  3. Step 3: Cross multiply
    1,787.77x = 2,679.83 × 1,094
  4. Step 4: Simplify right side
    1,787.77x = 2,931,728.55
  5. Step 5: Solve for x
    x = 2,931,728.55/1,787.77
  6. Step 6: Final answer
    x = 1,639.88

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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.