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Finding the Fourth Proportional to 4,462.66, 6,695.50 and 1,690.12

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Solution

The fourth proportional to 4,462.66, 6,695.50 and 1,690.12 is: 2,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.66 : 6,695.50 = 1,690.12 : x
  2. Step 2: Convert to fraction form
    4,462.66/6,695.50 = 1,690.12/x
  3. Step 3: Cross multiply
    4,462.66x = 6,695.50 × 1,690.12
  4. Step 4: Simplify right side
    4,462.66x = 11,316,198.46
  5. Step 5: Solve for x
    x = 11,316,198.46/4,462.66
  6. Step 6: Final answer
    x = 2,535.75

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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.