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Finding the Fourth Proportional to 3,054.82, 4,215.32 and 1,728.50

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Solution

The fourth proportional to 3,054.82, 4,215.32 and 1,728.50 is: 2,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.82 : 4,215.32 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    3,054.82/4,215.32 = 1,728.50/x
  3. Step 3: Cross multiply
    3,054.82x = 4,215.32 × 1,728.50
  4. Step 4: Simplify right side
    3,054.82x = 7,286,180.62
  5. Step 5: Solve for x
    x = 7,286,180.62/3,054.82
  6. Step 6: Final answer
    x = 2,385.14

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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.