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Finding the Fourth Proportional to 1,728.30, 2,593.06 and 1,470.27

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Solution

The fourth proportional to 1,728.30, 2,593.06 and 1,470.27 is: 2,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.30 : 2,593.06 = 1,470.27 : x
  2. Step 2: Convert to fraction form
    1,728.30/2,593.06 = 1,470.27/x
  3. Step 3: Cross multiply
    1,728.30x = 2,593.06 × 1,470.27
  4. Step 4: Simplify right side
    1,728.30x = 3,812,498.06
  5. Step 5: Solve for x
    x = 3,812,498.06/1,728.30
  6. Step 6: Final answer
    x = 2,205.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.