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Finding the Fourth Proportional to 1,980.89, 2,984.52 and 1,793.37

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Solution

The fourth proportional to 1,980.89, 2,984.52 and 1,793.37 is: 2,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.89 : 2,984.52 = 1,793.37 : x
  2. Step 2: Convert to fraction form
    1,980.89/2,984.52 = 1,793.37/x
  3. Step 3: Cross multiply
    1,980.89x = 2,984.52 × 1,793.37
  4. Step 4: Simplify right side
    1,980.89x = 5,352,348.63
  5. Step 5: Solve for x
    x = 5,352,348.63/1,980.89
  6. Step 6: Final answer
    x = 2,702.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.