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Finding the Fourth Proportional to 3,059.42, 4,220.64 and 2,037.60

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Solution

The fourth proportional to 3,059.42, 4,220.64 and 2,037.60 is: 2,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.42 : 4,220.64 = 2,037.60 : x
  2. Step 2: Convert to fraction form
    3,059.42/4,220.64 = 2,037.60/x
  3. Step 3: Cross multiply
    3,059.42x = 4,220.64 × 2,037.60
  4. Step 4: Simplify right side
    3,059.42x = 8,599,976.06
  5. Step 5: Solve for x
    x = 8,599,976.06/3,059.42
  6. Step 6: Final answer
    x = 2,810.99

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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.