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Finding the Fourth Proportional to 2,922.54, 4,032.99 and 1,728.30

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Solution

The fourth proportional to 2,922.54, 4,032.99 and 1,728.30 is: 2,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.54 : 4,032.99 = 1,728.30 : x
  2. Step 2: Convert to fraction form
    2,922.54/4,032.99 = 1,728.30/x
  3. Step 3: Cross multiply
    2,922.54x = 4,032.99 × 1,728.30
  4. Step 4: Simplify right side
    2,922.54x = 6,970,216.62
  5. Step 5: Solve for x
    x = 6,970,216.62/2,922.54
  6. Step 6: Final answer
    x = 2,384.99

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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.