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Finding the Fourth Proportional to 2,089.96, 2,884.47 and 1,206.04

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Solution

The fourth proportional to 2,089.96, 2,884.47 and 1,206.04 is: 1,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.96 : 2,884.47 = 1,206.04 : x
  2. Step 2: Convert to fraction form
    2,089.96/2,884.47 = 1,206.04/x
  3. Step 3: Cross multiply
    2,089.96x = 2,884.47 × 1,206.04
  4. Step 4: Simplify right side
    2,089.96x = 3,478,786.20
  5. Step 5: Solve for x
    x = 3,478,786.20/2,089.96
  6. Step 6: Final answer
    x = 1,664.52

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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.