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Finding the Fourth Proportional to 3,003.95, 4,145.50 and 1,659.62

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Solution

The fourth proportional to 3,003.95, 4,145.50 and 1,659.62 is: 2,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.95 : 4,145.50 = 1,659.62 : x
  2. Step 2: Convert to fraction form
    3,003.95/4,145.50 = 1,659.62/x
  3. Step 3: Cross multiply
    3,003.95x = 4,145.50 × 1,659.62
  4. Step 4: Simplify right side
    3,003.95x = 6,879,967.15
  5. Step 5: Solve for x
    x = 6,879,967.15/3,003.95
  6. Step 6: Final answer
    x = 2,290.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.