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Finding the Fourth Proportional to 4,687.65, 7,032.66 and 1,765.98

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Solution

The fourth proportional to 4,687.65, 7,032.66 and 1,765.98 is: 2,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.65 : 7,032.66 = 1,765.98 : x
  2. Step 2: Convert to fraction form
    4,687.65/7,032.66 = 1,765.98/x
  3. Step 3: Cross multiply
    4,687.65x = 7,032.66 × 1,765.98
  4. Step 4: Simplify right side
    4,687.65x = 12,419,536.91
  5. Step 5: Solve for x
    x = 12,419,536.91/4,687.65
  6. Step 6: Final answer
    x = 2,649.42

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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.