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Finding the Fourth Proportional to 2,333.57, 3,220.36 and 1,285.63

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Solution

The fourth proportional to 2,333.57, 3,220.36 and 1,285.63 is: 1,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.57 : 3,220.36 = 1,285.63 : x
  2. Step 2: Convert to fraction form
    2,333.57/3,220.36 = 1,285.63/x
  3. Step 3: Cross multiply
    2,333.57x = 3,220.36 × 1,285.63
  4. Step 4: Simplify right side
    2,333.57x = 4,140,180.16
  5. Step 5: Solve for x
    x = 4,140,180.16/2,333.57
  6. Step 6: Final answer
    x = 1,774.19

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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.