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Finding the Fourth Proportional to 2,723.59, 4,085.16 and 874.21

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Solution

The fourth proportional to 2,723.59, 4,085.16 and 874.21 is: 1,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.59 : 4,085.16 = 874.21 : x
  2. Step 2: Convert to fraction form
    2,723.59/4,085.16 = 874.21/x
  3. Step 3: Cross multiply
    2,723.59x = 4,085.16 × 874.21
  4. Step 4: Simplify right side
    2,723.59x = 3,571,287.72
  5. Step 5: Solve for x
    x = 3,571,287.72/2,723.59
  6. Step 6: Final answer
    x = 1,311.24

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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.