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Finding the Fourth Proportional to 3,059.10, 4,221.57 and 1,661.84

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Solution

The fourth proportional to 3,059.10, 4,221.57 and 1,661.84 is: 2,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.10 : 4,221.57 = 1,661.84 : x
  2. Step 2: Convert to fraction form
    3,059.10/4,221.57 = 1,661.84/x
  3. Step 3: Cross multiply
    3,059.10x = 4,221.57 × 1,661.84
  4. Step 4: Simplify right side
    3,059.10x = 7,015,573.89
  5. Step 5: Solve for x
    x = 7,015,573.89/3,059.10
  6. Step 6: Final answer
    x = 2,293.35

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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.