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Finding the Fourth Proportional to 2,716.25, 3,747.15 and 1,597.16

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Solution

The fourth proportional to 2,716.25, 3,747.15 and 1,597.16 is: 2,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.25 : 3,747.15 = 1,597.16 : x
  2. Step 2: Convert to fraction form
    2,716.25/3,747.15 = 1,597.16/x
  3. Step 3: Cross multiply
    2,716.25x = 3,747.15 × 1,597.16
  4. Step 4: Simplify right side
    2,716.25x = 5,984,807.46
  5. Step 5: Solve for x
    x = 5,984,807.46/2,716.25
  6. Step 6: Final answer
    x = 2,203.34

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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.