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Finding the Fourth Proportional to 1,626.83, 2,440.60 and 896.03

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Solution

The fourth proportional to 1,626.83, 2,440.60 and 896.03 is: 1,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.83 : 2,440.60 = 896.03 : x
  2. Step 2: Convert to fraction form
    1,626.83/2,440.60 = 896.03/x
  3. Step 3: Cross multiply
    1,626.83x = 2,440.60 × 896.03
  4. Step 4: Simplify right side
    1,626.83x = 2,186,834.13
  5. Step 5: Solve for x
    x = 2,186,834.13/1,626.83
  6. Step 6: Final answer
    x = 1,344.23

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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.