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Finding the Fourth Proportional to 2,071.78, 3,106.04 and 839.50

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Solution

The fourth proportional to 2,071.78, 3,106.04 and 839.50 is: 1,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 3,106.04 = 839.50 : x
  2. Step 2: Convert to fraction form
    2,071.78/3,106.04 = 839.50/x
  3. Step 3: Cross multiply
    2,071.78x = 3,106.04 × 839.50
  4. Step 4: Simplify right side
    2,071.78x = 2,607,520.58
  5. Step 5: Solve for x
    x = 2,607,520.58/2,071.78
  6. Step 6: Final answer
    x = 1,258.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.