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Finding the Fourth Proportional to 1,638.84, 2,261.40 and 930.43

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Solution

The fourth proportional to 1,638.84, 2,261.40 and 930.43 is: 1,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.84 : 2,261.40 = 930.43 : x
  2. Step 2: Convert to fraction form
    1,638.84/2,261.40 = 930.43/x
  3. Step 3: Cross multiply
    1,638.84x = 2,261.40 × 930.43
  4. Step 4: Simplify right side
    1,638.84x = 2,104,063.10
  5. Step 5: Solve for x
    x = 2,104,063.10/1,638.84
  6. Step 6: Final answer
    x = 1,283.87

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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.