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Finding the Fourth Proportional to 3,054.66, 4,215.53 and 1,728.57

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Solution

The fourth proportional to 3,054.66, 4,215.53 and 1,728.57 is: 2,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.66 : 4,215.53 = 1,728.57 : x
  2. Step 2: Convert to fraction form
    3,054.66/4,215.53 = 1,728.57/x
  3. Step 3: Cross multiply
    3,054.66x = 4,215.53 × 1,728.57
  4. Step 4: Simplify right side
    3,054.66x = 7,286,830.05
  5. Step 5: Solve for x
    x = 7,286,830.05/3,054.66
  6. Step 6: Final answer
    x = 2,385.48

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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.