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Finding the Fourth Proportional to 1,255.62, 1,885.32 and 1,083.63

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Solution

The fourth proportional to 1,255.62, 1,885.32 and 1,083.63 is: 1,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.62 : 1,885.32 = 1,083.63 : x
  2. Step 2: Convert to fraction form
    1,255.62/1,885.32 = 1,083.63/x
  3. Step 3: Cross multiply
    1,255.62x = 1,885.32 × 1,083.63
  4. Step 4: Simplify right side
    1,255.62x = 2,042,989.31
  5. Step 5: Solve for x
    x = 2,042,989.31/1,255.62
  6. Step 6: Final answer
    x = 1,627.08

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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.