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Finding the Fourth Proportional to 1,349.36, 2,031.36 and 919.28

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Solution

The fourth proportional to 1,349.36, 2,031.36 and 919.28 is: 1,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.36 : 2,031.36 = 919.28 : x
  2. Step 2: Convert to fraction form
    1,349.36/2,031.36 = 919.28/x
  3. Step 3: Cross multiply
    1,349.36x = 2,031.36 × 919.28
  4. Step 4: Simplify right side
    1,349.36x = 1,867,388.62
  5. Step 5: Solve for x
    x = 1,867,388.62/1,349.36
  6. Step 6: Final answer
    x = 1,383.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.