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Finding the Fourth Proportional to 1,589.37, 2,193.53 and 999.89

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Solution

The fourth proportional to 1,589.37, 2,193.53 and 999.89 is: 1,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.37 : 2,193.53 = 999.89 : x
  2. Step 2: Convert to fraction form
    1,589.37/2,193.53 = 999.89/x
  3. Step 3: Cross multiply
    1,589.37x = 2,193.53 × 999.89
  4. Step 4: Simplify right side
    1,589.37x = 2,193,289.20
  5. Step 5: Solve for x
    x = 2,193,289.20/1,589.37
  6. Step 6: Final answer
    x = 1,379.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.