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Finding the Fourth Proportional to 1,391.78, 1,919.48 and 1,096.58

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Solution

The fourth proportional to 1,391.78, 1,919.48 and 1,096.58 is: 1,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.78 : 1,919.48 = 1,096.58 : x
  2. Step 2: Convert to fraction form
    1,391.78/1,919.48 = 1,096.58/x
  3. Step 3: Cross multiply
    1,391.78x = 1,919.48 × 1,096.58
  4. Step 4: Simplify right side
    1,391.78x = 2,104,863.38
  5. Step 5: Solve for x
    x = 2,104,863.38/1,391.78
  6. Step 6: Final answer
    x = 1,512.35

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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.