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Finding the Fourth Proportional to 3,144.91, 4,340.01 and 1,728.58

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Solution

The fourth proportional to 3,144.91, 4,340.01 and 1,728.58 is: 2,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.91 : 4,340.01 = 1,728.58 : x
  2. Step 2: Convert to fraction form
    3,144.91/4,340.01 = 1,728.58/x
  3. Step 3: Cross multiply
    3,144.91x = 4,340.01 × 1,728.58
  4. Step 4: Simplify right side
    3,144.91x = 7,502,072.55
  5. Step 5: Solve for x
    x = 7,502,072.55/3,144.91
  6. Step 6: Final answer
    x = 2,385.47

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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.