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Finding the Fourth Proportional to 1,691.53, 2,335.90 and 1,599.49

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Solution

The fourth proportional to 1,691.53, 2,335.90 and 1,599.49 is: 2,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.53 : 2,335.90 = 1,599.49 : x
  2. Step 2: Convert to fraction form
    1,691.53/2,335.90 = 1,599.49/x
  3. Step 3: Cross multiply
    1,691.53x = 2,335.90 × 1,599.49
  4. Step 4: Simplify right side
    1,691.53x = 3,736,248.69
  5. Step 5: Solve for x
    x = 3,736,248.69/1,691.53
  6. Step 6: Final answer
    x = 2,208.80

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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.