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Finding the Fourth Proportional to 2,768.14, 3,820.02 and 1,509.22

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Solution

The fourth proportional to 2,768.14, 3,820.02 and 1,509.22 is: 2,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.14 : 3,820.02 = 1,509.22 : x
  2. Step 2: Convert to fraction form
    2,768.14/3,820.02 = 1,509.22/x
  3. Step 3: Cross multiply
    2,768.14x = 3,820.02 × 1,509.22
  4. Step 4: Simplify right side
    2,768.14x = 5,765,250.58
  5. Step 5: Solve for x
    x = 5,765,250.58/2,768.14
  6. Step 6: Final answer
    x = 2,082.72

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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.