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Finding the Fourth Proportional to 1,666.32, 2,498.72 and 691.84

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Solution

The fourth proportional to 1,666.32, 2,498.72 and 691.84 is: 1,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.32 : 2,498.72 = 691.84 : x
  2. Step 2: Convert to fraction form
    1,666.32/2,498.72 = 691.84/x
  3. Step 3: Cross multiply
    1,666.32x = 2,498.72 × 691.84
  4. Step 4: Simplify right side
    1,666.32x = 1,728,714.44
  5. Step 5: Solve for x
    x = 1,728,714.44/1,666.32
  6. Step 6: Final answer
    x = 1,037.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.