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Finding the Fourth Proportional to 2,333.80, 3,220.63 and 1,285.86

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Solution

The fourth proportional to 2,333.80, 3,220.63 and 1,285.86 is: 1,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.80 : 3,220.63 = 1,285.86 : x
  2. Step 2: Convert to fraction form
    2,333.80/3,220.63 = 1,285.86/x
  3. Step 3: Cross multiply
    2,333.80x = 3,220.63 × 1,285.86
  4. Step 4: Simplify right side
    2,333.80x = 4,141,279.29
  5. Step 5: Solve for x
    x = 4,141,279.29/2,333.80
  6. Step 6: Final answer
    x = 1,774.48

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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.