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Finding the Fourth Proportional to 1,691.67, 2,335.16 and 1,514.32

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Solution

The fourth proportional to 1,691.67, 2,335.16 and 1,514.32 is: 2,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.67 : 2,335.16 = 1,514.32 : x
  2. Step 2: Convert to fraction form
    1,691.67/2,335.16 = 1,514.32/x
  3. Step 3: Cross multiply
    1,691.67x = 2,335.16 × 1,514.32
  4. Step 4: Simplify right side
    1,691.67x = 3,536,179.49
  5. Step 5: Solve for x
    x = 3,536,179.49/1,691.67
  6. Step 6: Final answer
    x = 2,090.35

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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.