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Finding the Fourth Proportional to 1,794.64, 2,474 and 1,296.49

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Solution

The fourth proportional to 1,794.64, 2,474 and 1,296.49 is: 1,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.64 : 2,474 = 1,296.49 : x
  2. Step 2: Convert to fraction form
    1,794.64/2,474 = 1,296.49/x
  3. Step 3: Cross multiply
    1,794.64x = 2,474 × 1,296.49
  4. Step 4: Simplify right side
    1,794.64x = 3,207,516.26
  5. Step 5: Solve for x
    x = 3,207,516.26/1,794.64
  6. Step 6: Final answer
    x = 1,787.28

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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.