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Finding the Fourth Proportional to 2,710.37, 3,740.34 and 1,591.33

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Solution

The fourth proportional to 2,710.37, 3,740.34 and 1,591.33 is: 2,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.37 : 3,740.34 = 1,591.33 : x
  2. Step 2: Convert to fraction form
    2,710.37/3,740.34 = 1,591.33/x
  3. Step 3: Cross multiply
    2,710.37x = 3,740.34 × 1,591.33
  4. Step 4: Simplify right side
    2,710.37x = 5,952,115.25
  5. Step 5: Solve for x
    x = 5,952,115.25/2,710.37
  6. Step 6: Final answer
    x = 2,196.05

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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.