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Finding the Fourth Proportional to 1,787.81, 2,668.57 and 1,662.47

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Solution

The fourth proportional to 1,787.81, 2,668.57 and 1,662.47 is: 2,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.81 : 2,668.57 = 1,662.47 : x
  2. Step 2: Convert to fraction form
    1,787.81/2,668.57 = 1,662.47/x
  3. Step 3: Cross multiply
    1,787.81x = 2,668.57 × 1,662.47
  4. Step 4: Simplify right side
    1,787.81x = 4,436,411.31
  5. Step 5: Solve for x
    x = 4,436,411.31/1,787.81
  6. Step 6: Final answer
    x = 2,481.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.