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Finding the Fourth Proportional to 1,980.77, 2,971.51 and 664.40

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Solution

The fourth proportional to 1,980.77, 2,971.51 and 664.40 is: 996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.77 : 2,971.51 = 664.40 : x
  2. Step 2: Convert to fraction form
    1,980.77/2,971.51 = 664.40/x
  3. Step 3: Cross multiply
    1,980.77x = 2,971.51 × 664.40
  4. Step 4: Simplify right side
    1,980.77x = 1,974,277.01
  5. Step 5: Solve for x
    x = 1,974,277.01/1,980.77
  6. Step 6: Final answer
    x = 996.72

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