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Finding the Fourth Proportional to 1,728.66, 2,578.20 and 1,470.36

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Solution

The fourth proportional to 1,728.66, 2,578.20 and 1,470.36 is: 2,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.66 : 2,578.20 = 1,470.36 : x
  2. Step 2: Convert to fraction form
    1,728.66/2,578.20 = 1,470.36/x
  3. Step 3: Cross multiply
    1,728.66x = 2,578.20 × 1,470.36
  4. Step 4: Simplify right side
    1,728.66x = 3,790,882.15
  5. Step 5: Solve for x
    x = 3,790,882.15/1,728.66
  6. Step 6: Final answer
    x = 2,192.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.