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Finding the Fourth Proportional to 1,972.16, 2,958.69 and 673.63

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Solution

The fourth proportional to 1,972.16, 2,958.69 and 673.63 is: 1,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.16 : 2,958.69 = 673.63 : x
  2. Step 2: Convert to fraction form
    1,972.16/2,958.69 = 673.63/x
  3. Step 3: Cross multiply
    1,972.16x = 2,958.69 × 673.63
  4. Step 4: Simplify right side
    1,972.16x = 1,993,062.34
  5. Step 5: Solve for x
    x = 1,993,062.34/1,972.16
  6. Step 6: Final answer
    x = 1,010.60

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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.