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Finding the Fourth Proportional to 2,389.90, 3,582.81 and 908.29

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Solution

The fourth proportional to 2,389.90, 3,582.81 and 908.29 is: 1,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.90 : 3,582.81 = 908.29 : x
  2. Step 2: Convert to fraction form
    2,389.90/3,582.81 = 908.29/x
  3. Step 3: Cross multiply
    2,389.90x = 3,582.81 × 908.29
  4. Step 4: Simplify right side
    2,389.90x = 3,254,230.49
  5. Step 5: Solve for x
    x = 3,254,230.49/2,389.90
  6. Step 6: Final answer
    x = 1,361.66

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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.