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Finding the Fourth Proportional to 2,423.34, 3,344.06 and 1,361.25

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Solution

The fourth proportional to 2,423.34, 3,344.06 and 1,361.25 is: 1,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.34 : 3,344.06 = 1,361.25 : x
  2. Step 2: Convert to fraction form
    2,423.34/3,344.06 = 1,361.25/x
  3. Step 3: Cross multiply
    2,423.34x = 3,344.06 × 1,361.25
  4. Step 4: Simplify right side
    2,423.34x = 4,552,101.68
  5. Step 5: Solve for x
    x = 4,552,101.68/2,423.34
  6. Step 6: Final answer
    x = 1,878.44

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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.