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Finding the Fourth Proportional to 1,803.85, 2,706.38 and 879.23

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Solution

The fourth proportional to 1,803.85, 2,706.38 and 879.23 is: 1,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.85 : 2,706.38 = 879.23 : x
  2. Step 2: Convert to fraction form
    1,803.85/2,706.38 = 879.23/x
  3. Step 3: Cross multiply
    1,803.85x = 2,706.38 × 879.23
  4. Step 4: Simplify right side
    1,803.85x = 2,379,530.49
  5. Step 5: Solve for x
    x = 2,379,530.49/1,803.85
  6. Step 6: Final answer
    x = 1,319.14

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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.