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Finding the Fourth Proportional to 3,205.36, 4,808.12 and 896.84

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Solution

The fourth proportional to 3,205.36, 4,808.12 and 896.84 is: 1,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.36 : 4,808.12 = 896.84 : x
  2. Step 2: Convert to fraction form
    3,205.36/4,808.12 = 896.84/x
  3. Step 3: Cross multiply
    3,205.36x = 4,808.12 × 896.84
  4. Step 4: Simplify right side
    3,205.36x = 4,312,114.34
  5. Step 5: Solve for x
    x = 4,312,114.34/3,205.36
  6. Step 6: Final answer
    x = 1,345.28

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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.