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Finding the Fourth Proportional to 1,954.08, 2,700.02 and 1,884.02

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Solution

The fourth proportional to 1,954.08, 2,700.02 and 1,884.02 is: 2,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.08 : 2,700.02 = 1,884.02 : x
  2. Step 2: Convert to fraction form
    1,954.08/2,700.02 = 1,884.02/x
  3. Step 3: Cross multiply
    1,954.08x = 2,700.02 × 1,884.02
  4. Step 4: Simplify right side
    1,954.08x = 5,086,891.68
  5. Step 5: Solve for x
    x = 5,086,891.68/1,954.08
  6. Step 6: Final answer
    x = 2,603.22

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Why These Related Problems?

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