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Finding the Fourth Proportional to 2,601.75, 3,902.64 and 1,042.44

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Solution

The fourth proportional to 2,601.75, 3,902.64 and 1,042.44 is: 1,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.75 : 3,902.64 = 1,042.44 : x
  2. Step 2: Convert to fraction form
    2,601.75/3,902.64 = 1,042.44/x
  3. Step 3: Cross multiply
    2,601.75x = 3,902.64 × 1,042.44
  4. Step 4: Simplify right side
    2,601.75x = 4,068,268.04
  5. Step 5: Solve for x
    x = 4,068,268.04/2,601.75
  6. Step 6: Final answer
    x = 1,563.67

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1.5x scale

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.