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Finding the Fourth Proportional to 2,768.06, 3,819.93 and 1,526.06

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Solution

The fourth proportional to 2,768.06, 3,819.93 and 1,526.06 is: 2,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.06 : 3,819.93 = 1,526.06 : x
  2. Step 2: Convert to fraction form
    2,768.06/3,819.93 = 1,526.06/x
  3. Step 3: Cross multiply
    2,768.06x = 3,819.93 × 1,526.06
  4. Step 4: Simplify right side
    2,768.06x = 5,829,446.20
  5. Step 5: Solve for x
    x = 5,829,446.20/2,768.06
  6. Step 6: Final answer
    x = 2,105.97

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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.