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Finding the Fourth Proportional to 1,973.82, 2,960.81 and 657.69

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Solution

The fourth proportional to 1,973.82, 2,960.81 and 657.69 is: 986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.82 : 2,960.81 = 657.69 : x
  2. Step 2: Convert to fraction form
    1,973.82/2,960.81 = 657.69/x
  3. Step 3: Cross multiply
    1,973.82x = 2,960.81 × 657.69
  4. Step 4: Simplify right side
    1,973.82x = 1,947,291.84
  5. Step 5: Solve for x
    x = 1,947,291.84/1,973.82
  6. Step 6: Final answer
    x = 986.56

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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.