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Finding the Fourth Proportional to 3,303.32, 4,954.85 and 1,082.32

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Solution

The fourth proportional to 3,303.32, 4,954.85 and 1,082.32 is: 1,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.32 : 4,954.85 = 1,082.32 : x
  2. Step 2: Convert to fraction form
    3,303.32/4,954.85 = 1,082.32/x
  3. Step 3: Cross multiply
    3,303.32x = 4,954.85 × 1,082.32
  4. Step 4: Simplify right side
    3,303.32x = 5,362,709.50
  5. Step 5: Solve for x
    x = 5,362,709.50/3,303.32
  6. Step 6: Final answer
    x = 1,623.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.