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Finding the Fourth Proportional to 1,728.64, 2,384.75 and 1,168.90

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Solution

The fourth proportional to 1,728.64, 2,384.75 and 1,168.90 is: 1,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.64 : 2,384.75 = 1,168.90 : x
  2. Step 2: Convert to fraction form
    1,728.64/2,384.75 = 1,168.90/x
  3. Step 3: Cross multiply
    1,728.64x = 2,384.75 × 1,168.90
  4. Step 4: Simplify right side
    1,728.64x = 2,787,531.24
  5. Step 5: Solve for x
    x = 2,787,531.24/1,728.64
  6. Step 6: Final answer
    x = 1,612.56

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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.