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Finding the Fourth Proportional to 3,083.94, 4,627.43 and 1,440.60

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Solution

The fourth proportional to 3,083.94, 4,627.43 and 1,440.60 is: 2,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.94 : 4,627.43 = 1,440.60 : x
  2. Step 2: Convert to fraction form
    3,083.94/4,627.43 = 1,440.60/x
  3. Step 3: Cross multiply
    3,083.94x = 4,627.43 × 1,440.60
  4. Step 4: Simplify right side
    3,083.94x = 6,666,282.53
  5. Step 5: Solve for x
    x = 6,666,282.53/3,083.94
  6. Step 6: Final answer
    x = 2,161.61

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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.