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Finding the Fourth Proportional to 2,974.64, 4,106.64 and 1,980.68

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Solution

The fourth proportional to 2,974.64, 4,106.64 and 1,980.68 is: 2,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.64 : 4,106.64 = 1,980.68 : x
  2. Step 2: Convert to fraction form
    2,974.64/4,106.64 = 1,980.68/x
  3. Step 3: Cross multiply
    2,974.64x = 4,106.64 × 1,980.68
  4. Step 4: Simplify right side
    2,974.64x = 8,133,939.72
  5. Step 5: Solve for x
    x = 8,133,939.72/2,974.64
  6. Step 6: Final answer
    x = 2,734.43

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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.