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Finding the Fourth Proportional to 2,333.72, 3,220.53 and 1,285.79

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Solution

The fourth proportional to 2,333.72, 3,220.53 and 1,285.79 is: 1,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.72 : 3,220.53 = 1,285.79 : x
  2. Step 2: Convert to fraction form
    2,333.72/3,220.53 = 1,285.79/x
  3. Step 3: Cross multiply
    2,333.72x = 3,220.53 × 1,285.79
  4. Step 4: Simplify right side
    2,333.72x = 4,140,909.17
  5. Step 5: Solve for x
    x = 4,140,909.17/2,333.72
  6. Step 6: Final answer
    x = 1,774.38

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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.