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Finding the Fourth Proportional to 1,901.36, 2,622.18 and 1,238

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Solution

The fourth proportional to 1,901.36, 2,622.18 and 1,238 is: 1,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.36 : 2,622.18 = 1,238 : x
  2. Step 2: Convert to fraction form
    1,901.36/2,622.18 = 1,238/x
  3. Step 3: Cross multiply
    1,901.36x = 2,622.18 × 1,238
  4. Step 4: Simplify right side
    1,901.36x = 3,246,258.84
  5. Step 5: Solve for x
    x = 3,246,258.84/1,901.36
  6. Step 6: Final answer
    x = 1,707.34

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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.