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Finding the Fourth Proportional to 2,333.64, 3,220.34 and 1,285.70

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Solution

The fourth proportional to 2,333.64, 3,220.34 and 1,285.70 is: 1,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.64 : 3,220.34 = 1,285.70 : x
  2. Step 2: Convert to fraction form
    2,333.64/3,220.34 = 1,285.70/x
  3. Step 3: Cross multiply
    2,333.64x = 3,220.34 × 1,285.70
  4. Step 4: Simplify right side
    2,333.64x = 4,140,391.14
  5. Step 5: Solve for x
    x = 4,140,391.14/2,333.64
  6. Step 6: Final answer
    x = 1,774.22

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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.