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Finding the Fourth Proportional to 2,883.68, 4,322.42 and 2,059.45

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Solution

The fourth proportional to 2,883.68, 4,322.42 and 2,059.45 is: 3,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.68 : 4,322.42 = 2,059.45 : x
  2. Step 2: Convert to fraction form
    2,883.68/4,322.42 = 2,059.45/x
  3. Step 3: Cross multiply
    2,883.68x = 4,322.42 × 2,059.45
  4. Step 4: Simplify right side
    2,883.68x = 8,901,802.21
  5. Step 5: Solve for x
    x = 8,901,802.21/2,883.68
  6. Step 6: Final answer
    x = 3,086.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.