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Finding the Fourth Proportional to 1,787.81, 2,467.22 and 1,001.84

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Solution

The fourth proportional to 1,787.81, 2,467.22 and 1,001.84 is: 1,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.81 : 2,467.22 = 1,001.84 : x
  2. Step 2: Convert to fraction form
    1,787.81/2,467.22 = 1,001.84/x
  3. Step 3: Cross multiply
    1,787.81x = 2,467.22 × 1,001.84
  4. Step 4: Simplify right side
    1,787.81x = 2,471,742.34
  5. Step 5: Solve for x
    x = 2,471,742.34/1,787.81
  6. Step 6: Final answer
    x = 1,382.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.