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Finding the Fourth Proportional to 2,205.36, 3,308.04 and 974.16

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Solution

The fourth proportional to 2,205.36, 3,308.04 and 974.16 is: 1,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.36 : 3,308.04 = 974.16 : x
  2. Step 2: Convert to fraction form
    2,205.36/3,308.04 = 974.16/x
  3. Step 3: Cross multiply
    2,205.36x = 3,308.04 × 974.16
  4. Step 4: Simplify right side
    2,205.36x = 3,222,560.25
  5. Step 5: Solve for x
    x = 3,222,560.25/2,205.36
  6. Step 6: Final answer
    x = 1,461.24

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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.