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Finding the Fourth Proportional to 1,728.19, 2,384.08 and 1,168.85

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Solution

The fourth proportional to 1,728.19, 2,384.08 and 1,168.85 is: 1,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.19 : 2,384.08 = 1,168.85 : x
  2. Step 2: Convert to fraction form
    1,728.19/2,384.08 = 1,168.85/x
  3. Step 3: Cross multiply
    1,728.19x = 2,384.08 × 1,168.85
  4. Step 4: Simplify right side
    1,728.19x = 2,786,634.95
  5. Step 5: Solve for x
    x = 2,786,634.95/1,728.19
  6. Step 6: Final answer
    x = 1,612.46

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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.