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Finding the Fourth Proportional to 2,723.53, 4,085.83 and 874.50

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Solution

The fourth proportional to 2,723.53, 4,085.83 and 874.50 is: 1,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.53 : 4,085.83 = 874.50 : x
  2. Step 2: Convert to fraction form
    2,723.53/4,085.83 = 874.50/x
  3. Step 3: Cross multiply
    2,723.53x = 4,085.83 × 874.50
  4. Step 4: Simplify right side
    2,723.53x = 3,573,064.18
  5. Step 5: Solve for x
    x = 3,573,064.18/2,723.53
  6. Step 6: Final answer
    x = 1,311.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.