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Finding the Fourth Proportional to 3,085.93, 4,628.71 and 777.25

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Solution

The fourth proportional to 3,085.93, 4,628.71 and 777.25 is: 1,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.93 : 4,628.71 = 777.25 : x
  2. Step 2: Convert to fraction form
    3,085.93/4,628.71 = 777.25/x
  3. Step 3: Cross multiply
    3,085.93x = 4,628.71 × 777.25
  4. Step 4: Simplify right side
    3,085.93x = 3,597,664.85
  5. Step 5: Solve for x
    x = 3,597,664.85/3,085.93
  6. Step 6: Final answer
    x = 1,165.83

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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.