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Finding the Fourth Proportional to 1,600.18, 2,208.09 and 1,180.76

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Solution

The fourth proportional to 1,600.18, 2,208.09 and 1,180.76 is: 1,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.18 : 2,208.09 = 1,180.76 : x
  2. Step 2: Convert to fraction form
    1,600.18/2,208.09 = 1,180.76/x
  3. Step 3: Cross multiply
    1,600.18x = 2,208.09 × 1,180.76
  4. Step 4: Simplify right side
    1,600.18x = 2,607,224.35
  5. Step 5: Solve for x
    x = 2,607,224.35/1,600.18
  6. Step 6: Final answer
    x = 1,629.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.