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Finding the Fourth Proportional to 2,084.06, 3,125.73 and 785.30

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Solution

The fourth proportional to 2,084.06, 3,125.73 and 785.30 is: 1,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.06 : 3,125.73 = 785.30 : x
  2. Step 2: Convert to fraction form
    2,084.06/3,125.73 = 785.30/x
  3. Step 3: Cross multiply
    2,084.06x = 3,125.73 × 785.30
  4. Step 4: Simplify right side
    2,084.06x = 2,454,635.77
  5. Step 5: Solve for x
    x = 2,454,635.77/2,084.06
  6. Step 6: Final answer
    x = 1,177.81

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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.