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Finding the Fourth Proportional to 2,333.73, 3,220.59 and 1,285.77

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Solution

The fourth proportional to 2,333.73, 3,220.59 and 1,285.77 is: 1,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.73 : 3,220.59 = 1,285.77 : x
  2. Step 2: Convert to fraction form
    2,333.73/3,220.59 = 1,285.77/x
  3. Step 3: Cross multiply
    2,333.73x = 3,220.59 × 1,285.77
  4. Step 4: Simplify right side
    2,333.73x = 4,140,938.00
  5. Step 5: Solve for x
    x = 4,140,938.00/2,333.73
  6. Step 6: Final answer
    x = 1,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.