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Finding the Fourth Proportional to 3,205.34, 4,808.64 and 1,356.44

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Solution

The fourth proportional to 3,205.34, 4,808.64 and 1,356.44 is: 2,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.34 : 4,808.64 = 1,356.44 : x
  2. Step 2: Convert to fraction form
    3,205.34/4,808.64 = 1,356.44/x
  3. Step 3: Cross multiply
    3,205.34x = 4,808.64 × 1,356.44
  4. Step 4: Simplify right side
    3,205.34x = 6,522,631.64
  5. Step 5: Solve for x
    x = 6,522,631.64/3,205.34
  6. Step 6: Final answer
    x = 2,034.93

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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.