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Finding the Fourth Proportional to 2,953.62, 4,072.61 and 2,206.32

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Solution

The fourth proportional to 2,953.62, 4,072.61 and 2,206.32 is: 3,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.62 : 4,072.61 = 2,206.32 : x
  2. Step 2: Convert to fraction form
    2,953.62/4,072.61 = 2,206.32/x
  3. Step 3: Cross multiply
    2,953.62x = 4,072.61 × 2,206.32
  4. Step 4: Simplify right side
    2,953.62x = 8,985,471.14
  5. Step 5: Solve for x
    x = 8,985,471.14/2,953.62
  6. Step 6: Final answer
    x = 3,042.19

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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.