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Finding the Fourth Proportional to 2,945.61, 4,068.56 and 2,202.88

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Solution

The fourth proportional to 2,945.61, 4,068.56 and 2,202.88 is: 3,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.61 : 4,068.56 = 2,202.88 : x
  2. Step 2: Convert to fraction form
    2,945.61/4,068.56 = 2,202.88/x
  3. Step 3: Cross multiply
    2,945.61x = 4,068.56 × 2,202.88
  4. Step 4: Simplify right side
    2,945.61x = 8,962,528.27
  5. Step 5: Solve for x
    x = 8,962,528.27/2,945.61
  6. Step 6: Final answer
    x = 3,042.67

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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.