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Finding the Fourth Proportional to 2,151.77, 3,202.20 and 2,074.01

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Solution

The fourth proportional to 2,151.77, 3,202.20 and 2,074.01 is: 3,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.77 : 3,202.20 = 2,074.01 : x
  2. Step 2: Convert to fraction form
    2,151.77/3,202.20 = 2,074.01/x
  3. Step 3: Cross multiply
    2,151.77x = 3,202.20 × 2,074.01
  4. Step 4: Simplify right side
    2,151.77x = 6,641,378.81
  5. Step 5: Solve for x
    x = 6,641,378.81/2,151.77
  6. Step 6: Final answer
    x = 3,086.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.