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Finding the Fourth Proportional to 1,993.24, 2,990.72 and 953.27

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Solution

The fourth proportional to 1,993.24, 2,990.72 and 953.27 is: 1,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.24 : 2,990.72 = 953.27 : x
  2. Step 2: Convert to fraction form
    1,993.24/2,990.72 = 953.27/x
  3. Step 3: Cross multiply
    1,993.24x = 2,990.72 × 953.27
  4. Step 4: Simplify right side
    1,993.24x = 2,850,962.30
  5. Step 5: Solve for x
    x = 2,850,962.30/1,993.24
  6. Step 6: Final answer
    x = 1,430.31

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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.