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Finding the Fourth Proportional to 2,953.50, 4,072.45 and 2,206.20

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Solution

The fourth proportional to 2,953.50, 4,072.45 and 2,206.20 is: 3,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.50 : 4,072.45 = 2,206.20 : x
  2. Step 2: Convert to fraction form
    2,953.50/4,072.45 = 2,206.20/x
  3. Step 3: Cross multiply
    2,953.50x = 4,072.45 × 2,206.20
  4. Step 4: Simplify right side
    2,953.50x = 8,984,607.80
  5. Step 5: Solve for x
    x = 8,984,607.80/2,953.50
  6. Step 6: Final answer
    x = 3,042.02

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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.