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Finding the Fourth Proportional to 1,753.33, 2,627.55 and 1,264.09

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Solution

The fourth proportional to 1,753.33, 2,627.55 and 1,264.09 is: 1,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.33 : 2,627.55 = 1,264.09 : x
  2. Step 2: Convert to fraction form
    1,753.33/2,627.55 = 1,264.09/x
  3. Step 3: Cross multiply
    1,753.33x = 2,627.55 × 1,264.09
  4. Step 4: Simplify right side
    1,753.33x = 3,321,459.68
  5. Step 5: Solve for x
    x = 3,321,459.68/1,753.33
  6. Step 6: Final answer
    x = 1,894.37

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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.