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Finding the Fourth Proportional to 2,333.76, 3,220.59 and 1,285.83

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Solution

The fourth proportional to 2,333.76, 3,220.59 and 1,285.83 is: 1,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.76 : 3,220.59 = 1,285.83 : x
  2. Step 2: Convert to fraction form
    2,333.76/3,220.59 = 1,285.83/x
  3. Step 3: Cross multiply
    2,333.76x = 3,220.59 × 1,285.83
  4. Step 4: Simplify right side
    2,333.76x = 4,141,131.24
  5. Step 5: Solve for x
    x = 4,141,131.24/2,333.76
  6. Step 6: Final answer
    x = 1,774.45

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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.