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Finding the Fourth Proportional to 1,960.55, 2,705.02 and 1,262.33

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Solution

The fourth proportional to 1,960.55, 2,705.02 and 1,262.33 is: 1,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.55 : 2,705.02 = 1,262.33 : x
  2. Step 2: Convert to fraction form
    1,960.55/2,705.02 = 1,262.33/x
  3. Step 3: Cross multiply
    1,960.55x = 2,705.02 × 1,262.33
  4. Step 4: Simplify right side
    1,960.55x = 3,414,627.90
  5. Step 5: Solve for x
    x = 3,414,627.90/1,960.55
  6. Step 6: Final answer
    x = 1,741.67

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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.