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Finding the Fourth Proportional to 3,059.54, 4,224.73 and 2,302.00

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Solution

The fourth proportional to 3,059.54, 4,224.73 and 2,302.00 is: 3,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.54 : 4,224.73 = 2,302.00 : x
  2. Step 2: Convert to fraction form
    3,059.54/4,224.73 = 2,302.00/x
  3. Step 3: Cross multiply
    3,059.54x = 4,224.73 × 2,302.00
  4. Step 4: Simplify right side
    3,059.54x = 9,725,336.62
  5. Step 5: Solve for x
    x = 9,725,336.62/3,059.54
  6. Step 6: Final answer
    x = 3,178.69

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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.