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Finding the Fourth Proportional to 1,391.54, 1,921.03 and 1,076.11

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Solution

The fourth proportional to 1,391.54, 1,921.03 and 1,076.11 is: 1,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.54 : 1,921.03 = 1,076.11 : x
  2. Step 2: Convert to fraction form
    1,391.54/1,921.03 = 1,076.11/x
  3. Step 3: Cross multiply
    1,391.54x = 1,921.03 × 1,076.11
  4. Step 4: Simplify right side
    1,391.54x = 2,067,232.10
  5. Step 5: Solve for x
    x = 2,067,232.10/1,391.54
  6. Step 6: Final answer
    x = 1,485.58

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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.