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Finding the Fourth Proportional to 4,612.98, 6,919.25 and 1,691.07

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Solution

The fourth proportional to 4,612.98, 6,919.25 and 1,691.07 is: 2,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.98 : 6,919.25 = 1,691.07 : x
  2. Step 2: Convert to fraction form
    4,612.98/6,919.25 = 1,691.07/x
  3. Step 3: Cross multiply
    4,612.98x = 6,919.25 × 1,691.07
  4. Step 4: Simplify right side
    4,612.98x = 11,700,927.64
  5. Step 5: Solve for x
    x = 11,700,927.64/4,612.98
  6. Step 6: Final answer
    x = 2,536.52

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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.