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Finding the Fourth Proportional to 2,716.95, 3,750.27 and 1,597.86

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Solution

The fourth proportional to 2,716.95, 3,750.27 and 1,597.86 is: 2,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.95 : 3,750.27 = 1,597.86 : x
  2. Step 2: Convert to fraction form
    2,716.95/3,750.27 = 1,597.86/x
  3. Step 3: Cross multiply
    2,716.95x = 3,750.27 × 1,597.86
  4. Step 4: Simplify right side
    2,716.95x = 5,992,406.42
  5. Step 5: Solve for x
    x = 5,992,406.42/2,716.95
  6. Step 6: Final answer
    x = 2,205.56

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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.