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Finding the Fourth Proportional to 2,085.66, 3,126.09 and 785.82

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Solution

The fourth proportional to 2,085.66, 3,126.09 and 785.82 is: 1,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.66 : 3,126.09 = 785.82 : x
  2. Step 2: Convert to fraction form
    2,085.66/3,126.09 = 785.82/x
  3. Step 3: Cross multiply
    2,085.66x = 3,126.09 × 785.82
  4. Step 4: Simplify right side
    2,085.66x = 2,456,544.04
  5. Step 5: Solve for x
    x = 2,456,544.04/2,085.66
  6. Step 6: Final answer
    x = 1,177.83

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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.