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Finding the Fourth Proportional to 1,728.07, 2,589.67 and 976.93

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Solution

The fourth proportional to 1,728.07, 2,589.67 and 976.93 is: 1,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.07 : 2,589.67 = 976.93 : x
  2. Step 2: Convert to fraction form
    1,728.07/2,589.67 = 976.93/x
  3. Step 3: Cross multiply
    1,728.07x = 2,589.67 × 976.93
  4. Step 4: Simplify right side
    1,728.07x = 2,529,926.31
  5. Step 5: Solve for x
    x = 2,529,926.31/1,728.07
  6. Step 6: Final answer
    x = 1,464.02

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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.