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Finding the Fourth Proportional to 2,659.24, 3,670.50 and 1,728.04

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Solution

The fourth proportional to 2,659.24, 3,670.50 and 1,728.04 is: 2,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.24 : 3,670.50 = 1,728.04 : x
  2. Step 2: Convert to fraction form
    2,659.24/3,670.50 = 1,728.04/x
  3. Step 3: Cross multiply
    2,659.24x = 3,670.50 × 1,728.04
  4. Step 4: Simplify right side
    2,659.24x = 6,342,770.82
  5. Step 5: Solve for x
    x = 6,342,770.82/2,659.24
  6. Step 6: Final answer
    x = 2,385.18

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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.