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Finding the Fourth Proportional to 3,144.65, 4,339.66 and 1,728.47

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Solution

The fourth proportional to 3,144.65, 4,339.66 and 1,728.47 is: 2,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.65 : 4,339.66 = 1,728.47 : x
  2. Step 2: Convert to fraction form
    3,144.65/4,339.66 = 1,728.47/x
  3. Step 3: Cross multiply
    3,144.65x = 4,339.66 × 1,728.47
  4. Step 4: Simplify right side
    3,144.65x = 7,500,969.09
  5. Step 5: Solve for x
    x = 7,500,969.09/3,144.65
  6. Step 6: Final answer
    x = 2,385.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.