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Finding the Fourth Proportional to 2,157.37, 2,976.32 and 1,212.94

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Solution

The fourth proportional to 2,157.37, 2,976.32 and 1,212.94 is: 1,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.37 : 2,976.32 = 1,212.94 : x
  2. Step 2: Convert to fraction form
    2,157.37/2,976.32 = 1,212.94/x
  3. Step 3: Cross multiply
    2,157.37x = 2,976.32 × 1,212.94
  4. Step 4: Simplify right side
    2,157.37x = 3,610,097.58
  5. Step 5: Solve for x
    x = 3,610,097.58/2,157.37
  6. Step 6: Final answer
    x = 1,673.38

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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.