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Finding the Fourth Proportional to 2,089.79, 2,884.04 and 1,205.64

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Solution

The fourth proportional to 2,089.79, 2,884.04 and 1,205.64 is: 1,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.79 : 2,884.04 = 1,205.64 : x
  2. Step 2: Convert to fraction form
    2,089.79/2,884.04 = 1,205.64/x
  3. Step 3: Cross multiply
    2,089.79x = 2,884.04 × 1,205.64
  4. Step 4: Simplify right side
    2,089.79x = 3,477,107.96
  5. Step 5: Solve for x
    x = 3,477,107.96/2,089.79
  6. Step 6: Final answer
    x = 1,663.86

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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.