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Finding the Fourth Proportional to 2,650.14, 3,656.97 and 1,602

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Solution

The fourth proportional to 2,650.14, 3,656.97 and 1,602 is: 2,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.14 : 3,656.97 = 1,602 : x
  2. Step 2: Convert to fraction form
    2,650.14/3,656.97 = 1,602/x
  3. Step 3: Cross multiply
    2,650.14x = 3,656.97 × 1,602
  4. Step 4: Simplify right side
    2,650.14x = 5,858,465.94
  5. Step 5: Solve for x
    x = 5,858,465.94/2,650.14
  6. Step 6: Final answer
    x = 2,210.63

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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.