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Finding the Fourth Proportional to 2,881.01, 3,975.74 and 1,622.06

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Solution

The fourth proportional to 2,881.01, 3,975.74 and 1,622.06 is: 2,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.01 : 3,975.74 = 1,622.06 : x
  2. Step 2: Convert to fraction form
    2,881.01/3,975.74 = 1,622.06/x
  3. Step 3: Cross multiply
    2,881.01x = 3,975.74 × 1,622.06
  4. Step 4: Simplify right side
    2,881.01x = 6,448,881.83
  5. Step 5: Solve for x
    x = 6,448,881.83/2,881.01
  6. Step 6: Final answer
    x = 2,238.41

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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.