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Finding the Fourth Proportional to 3,003.80, 4,505.70 and 1,686.20

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Solution

The fourth proportional to 3,003.80, 4,505.70 and 1,686.20 is: 2,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.80 : 4,505.70 = 1,686.20 : x
  2. Step 2: Convert to fraction form
    3,003.80/4,505.70 = 1,686.20/x
  3. Step 3: Cross multiply
    3,003.80x = 4,505.70 × 1,686.20
  4. Step 4: Simplify right side
    3,003.80x = 7,597,511.34
  5. Step 5: Solve for x
    x = 7,597,511.34/3,003.80
  6. Step 6: Final answer
    x = 2,529.30

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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.