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Finding the Fourth Proportional to 1,759.49, 2,638.47 and 937.58

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Solution

The fourth proportional to 1,759.49, 2,638.47 and 937.58 is: 1,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.49 : 2,638.47 = 937.58 : x
  2. Step 2: Convert to fraction form
    1,759.49/2,638.47 = 937.58/x
  3. Step 3: Cross multiply
    1,759.49x = 2,638.47 × 937.58
  4. Step 4: Simplify right side
    1,759.49x = 2,473,776.70
  5. Step 5: Solve for x
    x = 2,473,776.70/1,759.49
  6. Step 6: Final answer
    x = 1,405.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.