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Finding the Fourth Proportional to 2,089.76, 2,883.66 and 1,205.60

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Solution

The fourth proportional to 2,089.76, 2,883.66 and 1,205.60 is: 1,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.76 : 2,883.66 = 1,205.60 : x
  2. Step 2: Convert to fraction form
    2,089.76/2,883.66 = 1,205.60/x
  3. Step 3: Cross multiply
    2,089.76x = 2,883.66 × 1,205.60
  4. Step 4: Simplify right side
    2,089.76x = 3,476,540.50
  5. Step 5: Solve for x
    x = 3,476,540.50/2,089.76
  6. Step 6: Final answer
    x = 1,663.61

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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.