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Finding the Fourth Proportional to 2,880.97, 3,975.80 and 1,622.00

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Solution

The fourth proportional to 2,880.97, 3,975.80 and 1,622.00 is: 2,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.97 : 3,975.80 = 1,622.00 : x
  2. Step 2: Convert to fraction form
    2,880.97/3,975.80 = 1,622.00/x
  3. Step 3: Cross multiply
    2,880.97x = 3,975.80 × 1,622.00
  4. Step 4: Simplify right side
    2,880.97x = 6,448,749.43
  5. Step 5: Solve for x
    x = 6,448,749.43/2,880.97
  6. Step 6: Final answer
    x = 2,238.40

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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.