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Finding the Fourth Proportional to 2,394.26, 3,304.04 and 1,346.32

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Solution

The fourth proportional to 2,394.26, 3,304.04 and 1,346.32 is: 1,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.26 : 3,304.04 = 1,346.32 : x
  2. Step 2: Convert to fraction form
    2,394.26/3,304.04 = 1,346.32/x
  3. Step 3: Cross multiply
    2,394.26x = 3,304.04 × 1,346.32
  4. Step 4: Simplify right side
    2,394.26x = 4,448,300.10
  5. Step 5: Solve for x
    x = 4,448,300.10/2,394.26
  6. Step 6: Final answer
    x = 1,857.90

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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.