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Finding the Fourth Proportional to 2,723.16, 4,085.26 and 874.13

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Solution

The fourth proportional to 2,723.16, 4,085.26 and 874.13 is: 1,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.16 : 4,085.26 = 874.13 : x
  2. Step 2: Convert to fraction form
    2,723.16/4,085.26 = 874.13/x
  3. Step 3: Cross multiply
    2,723.16x = 4,085.26 × 874.13
  4. Step 4: Simplify right side
    2,723.16x = 3,571,040.30
  5. Step 5: Solve for x
    x = 3,571,040.30/2,723.16
  6. Step 6: Final answer
    x = 1,311.36

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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.