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Finding the Fourth Proportional to 3,264.70, 4,504.16 and 2,086.46

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Solution

The fourth proportional to 3,264.70, 4,504.16 and 2,086.46 is: 2,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.70 : 4,504.16 = 2,086.46 : x
  2. Step 2: Convert to fraction form
    3,264.70/4,504.16 = 2,086.46/x
  3. Step 3: Cross multiply
    3,264.70x = 4,504.16 × 2,086.46
  4. Step 4: Simplify right side
    3,264.70x = 9,397,749.67
  5. Step 5: Solve for x
    x = 9,397,749.67/3,264.70
  6. Step 6: Final answer
    x = 2,878.60

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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.