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Finding the Fourth Proportional to 2,103.16, 2,906.04 and 1,729.84

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Solution

The fourth proportional to 2,103.16, 2,906.04 and 1,729.84 is: 2,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.16 : 2,906.04 = 1,729.84 : x
  2. Step 2: Convert to fraction form
    2,103.16/2,906.04 = 1,729.84/x
  3. Step 3: Cross multiply
    2,103.16x = 2,906.04 × 1,729.84
  4. Step 4: Simplify right side
    2,103.16x = 5,026,984.23
  5. Step 5: Solve for x
    x = 5,026,984.23/2,103.16
  6. Step 6: Final answer
    x = 2,390.21

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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.