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Finding the Fourth Proportional to 1,728.22, 2,383.01 and 1,412.51

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Solution

The fourth proportional to 1,728.22, 2,383.01 and 1,412.51 is: 1,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.22 : 2,383.01 = 1,412.51 : x
  2. Step 2: Convert to fraction form
    1,728.22/2,383.01 = 1,412.51/x
  3. Step 3: Cross multiply
    1,728.22x = 2,383.01 × 1,412.51
  4. Step 4: Simplify right side
    1,728.22x = 3,366,010.66
  5. Step 5: Solve for x
    x = 3,366,010.66/1,728.22
  6. Step 6: Final answer
    x = 1,947.67

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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.