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Finding the Fourth Proportional to 4,649.80, 6,973.28 and 1,687.88

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Solution

The fourth proportional to 4,649.80, 6,973.28 and 1,687.88 is: 2,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.80 : 6,973.28 = 1,687.88 : x
  2. Step 2: Convert to fraction form
    4,649.80/6,973.28 = 1,687.88/x
  3. Step 3: Cross multiply
    4,649.80x = 6,973.28 × 1,687.88
  4. Step 4: Simplify right side
    4,649.80x = 11,770,059.85
  5. Step 5: Solve for x
    x = 11,770,059.85/4,649.80
  6. Step 6: Final answer
    x = 2,531.30

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