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Finding the Fourth Proportional to 1,787.14, 2,680.31 and 632.89

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Solution

The fourth proportional to 1,787.14, 2,680.31 and 632.89 is: 949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.14 : 2,680.31 = 632.89 : x
  2. Step 2: Convert to fraction form
    1,787.14/2,680.31 = 632.89/x
  3. Step 3: Cross multiply
    1,787.14x = 2,680.31 × 632.89
  4. Step 4: Simplify right side
    1,787.14x = 1,696,338.23
  5. Step 5: Solve for x
    x = 1,696,338.23/1,787.14
  6. Step 6: Final answer
    x = 949.19

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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.