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Finding the Fourth Proportional to 2,486.04, 3,729.06 and 842.60

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Solution

The fourth proportional to 2,486.04, 3,729.06 and 842.60 is: 1,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.04 : 3,729.06 = 842.60 : x
  2. Step 2: Convert to fraction form
    2,486.04/3,729.06 = 842.60/x
  3. Step 3: Cross multiply
    2,486.04x = 3,729.06 × 842.60
  4. Step 4: Simplify right side
    2,486.04x = 3,142,105.96
  5. Step 5: Solve for x
    x = 3,142,105.96/2,486.04
  6. Step 6: Final answer
    x = 1,263.90

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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.