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Finding the Fourth Proportional to 1,691.73, 2,337.54 and 1,302.12

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Solution

The fourth proportional to 1,691.73, 2,337.54 and 1,302.12 is: 1,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.73 : 2,337.54 = 1,302.12 : x
  2. Step 2: Convert to fraction form
    1,691.73/2,337.54 = 1,302.12/x
  3. Step 3: Cross multiply
    1,691.73x = 2,337.54 × 1,302.12
  4. Step 4: Simplify right side
    1,691.73x = 3,043,757.58
  5. Step 5: Solve for x
    x = 3,043,757.58/1,691.73
  6. Step 6: Final answer
    x = 1,799.20

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1.5x scale

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.