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Finding the Fourth Proportional to 2,674.12, 4,008.30 and 1,520.20

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Solution

The fourth proportional to 2,674.12, 4,008.30 and 1,520.20 is: 2,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.12 : 4,008.30 = 1,520.20 : x
  2. Step 2: Convert to fraction form
    2,674.12/4,008.30 = 1,520.20/x
  3. Step 3: Cross multiply
    2,674.12x = 4,008.30 × 1,520.20
  4. Step 4: Simplify right side
    2,674.12x = 6,093,417.66
  5. Step 5: Solve for x
    x = 6,093,417.66/2,674.12
  6. Step 6: Final answer
    x = 2,278.66

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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.