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Finding the Fourth Proportional to 2,693, 4,037.84 and 937.25

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Solution

The fourth proportional to 2,693, 4,037.84 and 937.25 is: 1,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693 : 4,037.84 = 937.25 : x
  2. Step 2: Convert to fraction form
    2,693/4,037.84 = 937.25/x
  3. Step 3: Cross multiply
    2,693x = 4,037.84 × 937.25
  4. Step 4: Simplify right side
    2,693x = 3,784,465.54
  5. Step 5: Solve for x
    x = 3,784,465.54/2,693
  6. Step 6: Final answer
    x = 1,405.30

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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.