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Finding the Fourth Proportional to 1,691.21, 2,335.48 and 1,599.17

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Solution

The fourth proportional to 1,691.21, 2,335.48 and 1,599.17 is: 2,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.21 : 2,335.48 = 1,599.17 : x
  2. Step 2: Convert to fraction form
    1,691.21/2,335.48 = 1,599.17/x
  3. Step 3: Cross multiply
    1,691.21x = 2,335.48 × 1,599.17
  4. Step 4: Simplify right side
    1,691.21x = 3,734,829.55
  5. Step 5: Solve for x
    x = 3,734,829.55/1,691.21
  6. Step 6: Final answer
    x = 2,208.38

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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.