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Finding the Fourth Proportional to 2,333.52, 3,220.24 and 1,285.60

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Solution

The fourth proportional to 2,333.52, 3,220.24 and 1,285.60 is: 1,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.52 : 3,220.24 = 1,285.60 : x
  2. Step 2: Convert to fraction form
    2,333.52/3,220.24 = 1,285.60/x
  3. Step 3: Cross multiply
    2,333.52x = 3,220.24 × 1,285.60
  4. Step 4: Simplify right side
    2,333.52x = 4,139,940.54
  5. Step 5: Solve for x
    x = 4,139,940.54/2,333.52
  6. Step 6: Final answer
    x = 1,774.12

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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.