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Finding the Fourth Proportional to 2,084.09, 3,126.60 and 785.57

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Solution

The fourth proportional to 2,084.09, 3,126.60 and 785.57 is: 1,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.09 : 3,126.60 = 785.57 : x
  2. Step 2: Convert to fraction form
    2,084.09/3,126.60 = 785.57/x
  3. Step 3: Cross multiply
    2,084.09x = 3,126.60 × 785.57
  4. Step 4: Simplify right side
    2,084.09x = 2,456,163.16
  5. Step 5: Solve for x
    x = 2,456,163.16/2,084.09
  6. Step 6: Final answer
    x = 1,178.53

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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.