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Finding the Fourth Proportional to 2,206.91, 3,310.40 and 974.07

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Solution

The fourth proportional to 2,206.91, 3,310.40 and 974.07 is: 1,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.91 : 3,310.40 = 974.07 : x
  2. Step 2: Convert to fraction form
    2,206.91/3,310.40 = 974.07/x
  3. Step 3: Cross multiply
    2,206.91x = 3,310.40 × 974.07
  4. Step 4: Simplify right side
    2,206.91x = 3,224,563.76
  5. Step 5: Solve for x
    x = 3,224,563.76/2,206.91
  6. Step 6: Final answer
    x = 1,461.12

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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.