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Finding the Fourth Proportional to 2,966.96, 4,093.34 and 2,285.82

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Solution

The fourth proportional to 2,966.96, 4,093.34 and 2,285.82 is: 3,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.96 : 4,093.34 = 2,285.82 : x
  2. Step 2: Convert to fraction form
    2,966.96/4,093.34 = 2,285.82/x
  3. Step 3: Cross multiply
    2,966.96x = 4,093.34 × 2,285.82
  4. Step 4: Simplify right side
    2,966.96x = 9,356,627.01
  5. Step 5: Solve for x
    x = 9,356,627.01/2,966.96
  6. Step 6: Final answer
    x = 3,153.60

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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.