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Finding the Fourth Proportional to 1,626.02, 2,440.08 and 896.12

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Solution

The fourth proportional to 1,626.02, 2,440.08 and 896.12 is: 1,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.02 : 2,440.08 = 896.12 : x
  2. Step 2: Convert to fraction form
    1,626.02/2,440.08 = 896.12/x
  3. Step 3: Cross multiply
    1,626.02x = 2,440.08 × 896.12
  4. Step 4: Simplify right side
    1,626.02x = 2,186,604.49
  5. Step 5: Solve for x
    x = 2,186,604.49/1,626.02
  6. Step 6: Final answer
    x = 1,344.76

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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.