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Finding the Fourth Proportional to 2,787.70, 4,181.46 and 707.77

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Solution

The fourth proportional to 2,787.70, 4,181.46 and 707.77 is: 1,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.70 : 4,181.46 = 707.77 : x
  2. Step 2: Convert to fraction form
    2,787.70/4,181.46 = 707.77/x
  3. Step 3: Cross multiply
    2,787.70x = 4,181.46 × 707.77
  4. Step 4: Simplify right side
    2,787.70x = 2,959,511.94
  5. Step 5: Solve for x
    x = 2,959,511.94/2,787.70
  6. Step 6: Final answer
    x = 1,061.63

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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.