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Finding the Fourth Proportional to 2,972.36, 4,101.72 and 1,645.94

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Solution

The fourth proportional to 2,972.36, 4,101.72 and 1,645.94 is: 2,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.36 : 4,101.72 = 1,645.94 : x
  2. Step 2: Convert to fraction form
    2,972.36/4,101.72 = 1,645.94/x
  3. Step 3: Cross multiply
    2,972.36x = 4,101.72 × 1,645.94
  4. Step 4: Simplify right side
    2,972.36x = 6,751,185.02
  5. Step 5: Solve for x
    x = 6,751,185.02/2,972.36
  6. Step 6: Final answer
    x = 2,271.32

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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.