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Finding the Fourth Proportional to 1,691.89, 2,335.23 and 1,029.11

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Solution

The fourth proportional to 1,691.89, 2,335.23 and 1,029.11 is: 1,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.89 : 2,335.23 = 1,029.11 : x
  2. Step 2: Convert to fraction form
    1,691.89/2,335.23 = 1,029.11/x
  3. Step 3: Cross multiply
    1,691.89x = 2,335.23 × 1,029.11
  4. Step 4: Simplify right side
    1,691.89x = 2,403,196.87
  5. Step 5: Solve for x
    x = 2,403,196.87/1,691.89
  6. Step 6: Final answer
    x = 1,420.42

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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.