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Finding the Fourth Proportional to 2,001.75, 2,762.82 and 1,162.64

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Solution

The fourth proportional to 2,001.75, 2,762.82 and 1,162.64 is: 1,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.75 : 2,762.82 = 1,162.64 : x
  2. Step 2: Convert to fraction form
    2,001.75/2,762.82 = 1,162.64/x
  3. Step 3: Cross multiply
    2,001.75x = 2,762.82 × 1,162.64
  4. Step 4: Simplify right side
    2,001.75x = 3,212,151.23
  5. Step 5: Solve for x
    x = 3,212,151.23/2,001.75
  6. Step 6: Final answer
    x = 1,604.67

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1.5x scale

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.