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Finding the Fourth Proportional to 2,885.16, 3,981.36 and 1,626.42

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Solution

The fourth proportional to 2,885.16, 3,981.36 and 1,626.42 is: 2,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.16 : 3,981.36 = 1,626.42 : x
  2. Step 2: Convert to fraction form
    2,885.16/3,981.36 = 1,626.42/x
  3. Step 3: Cross multiply
    2,885.16x = 3,981.36 × 1,626.42
  4. Step 4: Simplify right side
    2,885.16x = 6,475,363.53
  5. Step 5: Solve for x
    x = 6,475,363.53/2,885.16
  6. Step 6: Final answer
    x = 2,244.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.