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Finding the Fourth Proportional to 2,085.40, 3,129.36 and 786.79

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Solution

The fourth proportional to 2,085.40, 3,129.36 and 786.79 is: 1,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.40 : 3,129.36 = 786.79 : x
  2. Step 2: Convert to fraction form
    2,085.40/3,129.36 = 786.79/x
  3. Step 3: Cross multiply
    2,085.40x = 3,129.36 × 786.79
  4. Step 4: Simplify right side
    2,085.40x = 2,462,149.15
  5. Step 5: Solve for x
    x = 2,462,149.15/2,085.40
  6. Step 6: Final answer
    x = 1,180.66

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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.