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Finding the Fourth Proportional to 1,755.06, 2,627.07 and 1,204.02

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Solution

The fourth proportional to 1,755.06, 2,627.07 and 1,204.02 is: 1,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.06 : 2,627.07 = 1,204.02 : x
  2. Step 2: Convert to fraction form
    1,755.06/2,627.07 = 1,204.02/x
  3. Step 3: Cross multiply
    1,755.06x = 2,627.07 × 1,204.02
  4. Step 4: Simplify right side
    1,755.06x = 3,163,044.82
  5. Step 5: Solve for x
    x = 3,163,044.82/1,755.06
  6. Step 6: Final answer
    x = 1,802.24

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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.