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Finding the Fourth Proportional to 1,980.97, 2,971.46 and 594.46

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Solution

The fourth proportional to 1,980.97, 2,971.46 and 594.46 is: 891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.97 : 2,971.46 = 594.46 : x
  2. Step 2: Convert to fraction form
    1,980.97/2,971.46 = 594.46/x
  3. Step 3: Cross multiply
    1,980.97x = 2,971.46 × 594.46
  4. Step 4: Simplify right side
    1,980.97x = 1,766,414.11
  5. Step 5: Solve for x
    x = 1,766,414.11/1,980.97
  6. Step 6: Final answer
    x = 891.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.