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Finding the Fourth Proportional to 1,638.78, 2,261.41 and 1,009.34

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Solution

The fourth proportional to 1,638.78, 2,261.41 and 1,009.34 is: 1,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.78 : 2,261.41 = 1,009.34 : x
  2. Step 2: Convert to fraction form
    1,638.78/2,261.41 = 1,009.34/x
  3. Step 3: Cross multiply
    1,638.78x = 2,261.41 × 1,009.34
  4. Step 4: Simplify right side
    1,638.78x = 2,282,531.57
  5. Step 5: Solve for x
    x = 2,282,531.57/1,638.78
  6. Step 6: Final answer
    x = 1,392.82

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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.