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Finding the Fourth Proportional to 1,787.24, 2,677.34 and 811.56

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Solution

The fourth proportional to 1,787.24, 2,677.34 and 811.56 is: 1,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.24 : 2,677.34 = 811.56 : x
  2. Step 2: Convert to fraction form
    1,787.24/2,677.34 = 811.56/x
  3. Step 3: Cross multiply
    1,787.24x = 2,677.34 × 811.56
  4. Step 4: Simplify right side
    1,787.24x = 2,172,822.05
  5. Step 5: Solve for x
    x = 2,172,822.05/1,787.24
  6. Step 6: Final answer
    x = 1,215.74

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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.