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Finding the Fourth Proportional to 2,205.60, 3,292.20 and 2,059.68

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Solution

The fourth proportional to 2,205.60, 3,292.20 and 2,059.68 is: 3,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.60 : 3,292.20 = 2,059.68 : x
  2. Step 2: Convert to fraction form
    2,205.60/3,292.20 = 2,059.68/x
  3. Step 3: Cross multiply
    2,205.60x = 3,292.20 × 2,059.68
  4. Step 4: Simplify right side
    2,205.60x = 6,780,878.50
  5. Step 5: Solve for x
    x = 6,780,878.50/2,205.60
  6. Step 6: Final answer
    x = 3,074.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.