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Finding the Fourth Proportional to 1,728.09, 2,592.32 and 573.93

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Solution

The fourth proportional to 1,728.09, 2,592.32 and 573.93 is: 860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.09 : 2,592.32 = 573.93 : x
  2. Step 2: Convert to fraction form
    1,728.09/2,592.32 = 573.93/x
  3. Step 3: Cross multiply
    1,728.09x = 2,592.32 × 573.93
  4. Step 4: Simplify right side
    1,728.09x = 1,487,807.35
  5. Step 5: Solve for x
    x = 1,487,807.35/1,728.09
  6. Step 6: Final answer
    x = 860.95

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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.