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Finding the Fourth Proportional to 2,669.76, 3,685.44 and 1,608

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Solution

The fourth proportional to 2,669.76, 3,685.44 and 1,608 is: 2,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.76 : 3,685.44 = 1,608 : x
  2. Step 2: Convert to fraction form
    2,669.76/3,685.44 = 1,608/x
  3. Step 3: Cross multiply
    2,669.76x = 3,685.44 × 1,608
  4. Step 4: Simplify right side
    2,669.76x = 5,926,187.52
  5. Step 5: Solve for x
    x = 5,926,187.52/2,669.76
  6. Step 6: Final answer
    x = 2,219.75

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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.