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Finding the Fourth Proportional to 2,085.93, 3,129.48 and 699.60

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Solution

The fourth proportional to 2,085.93, 3,129.48 and 699.60 is: 1,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.93 : 3,129.48 = 699.60 : x
  2. Step 2: Convert to fraction form
    2,085.93/3,129.48 = 699.60/x
  3. Step 3: Cross multiply
    2,085.93x = 3,129.48 × 699.60
  4. Step 4: Simplify right side
    2,085.93x = 2,189,384.21
  5. Step 5: Solve for x
    x = 2,189,384.21/2,085.93
  6. Step 6: Final answer
    x = 1,049.60

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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.