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Finding the Fourth Proportional to 2,423.49, 3,344.14 and 1,361.04

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Solution

The fourth proportional to 2,423.49, 3,344.14 and 1,361.04 is: 1,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.49 : 3,344.14 = 1,361.04 : x
  2. Step 2: Convert to fraction form
    2,423.49/3,344.14 = 1,361.04/x
  3. Step 3: Cross multiply
    2,423.49x = 3,344.14 × 1,361.04
  4. Step 4: Simplify right side
    2,423.49x = 4,551,508.31
  5. Step 5: Solve for x
    x = 4,551,508.31/2,423.49
  6. Step 6: Final answer
    x = 1,878.08

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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.