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Finding the Fourth Proportional to 3,085.94, 4,627.52 and 894.14

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Solution

The fourth proportional to 3,085.94, 4,627.52 and 894.14 is: 1,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.94 : 4,627.52 = 894.14 : x
  2. Step 2: Convert to fraction form
    3,085.94/4,627.52 = 894.14/x
  3. Step 3: Cross multiply
    3,085.94x = 4,627.52 × 894.14
  4. Step 4: Simplify right side
    3,085.94x = 4,137,650.73
  5. Step 5: Solve for x
    x = 4,137,650.73/3,085.94
  6. Step 6: Final answer
    x = 1,340.81

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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.