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Finding the Fourth Proportional to 1,728.03, 2,589.73 and 631.36

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Solution

The fourth proportional to 1,728.03, 2,589.73 and 631.36 is: 946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.03 : 2,589.73 = 631.36 : x
  2. Step 2: Convert to fraction form
    1,728.03/2,589.73 = 631.36/x
  3. Step 3: Cross multiply
    1,728.03x = 2,589.73 × 631.36
  4. Step 4: Simplify right side
    1,728.03x = 1,635,051.93
  5. Step 5: Solve for x
    x = 1,635,051.93/1,728.03
  6. Step 6: Final answer
    x = 946.19

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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.