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Finding the Fourth Proportional to 2,723.46, 4,085.10 and 874.68

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Solution

The fourth proportional to 2,723.46, 4,085.10 and 874.68 is: 1,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.46 : 4,085.10 = 874.68 : x
  2. Step 2: Convert to fraction form
    2,723.46/4,085.10 = 874.68/x
  3. Step 3: Cross multiply
    2,723.46x = 4,085.10 × 874.68
  4. Step 4: Simplify right side
    2,723.46x = 3,573,155.27
  5. Step 5: Solve for x
    x = 3,573,155.27/2,723.46
  6. Step 6: Final answer
    x = 1,311.99

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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.