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Finding the Fourth Proportional to 1,832.72, 2,529.20 and 1,004.72

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Solution

The fourth proportional to 1,832.72, 2,529.20 and 1,004.72 is: 1,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.72 : 2,529.20 = 1,004.72 : x
  2. Step 2: Convert to fraction form
    1,832.72/2,529.20 = 1,004.72/x
  3. Step 3: Cross multiply
    1,832.72x = 2,529.20 × 1,004.72
  4. Step 4: Simplify right side
    1,832.72x = 2,541,137.82
  5. Step 5: Solve for x
    x = 2,541,137.82/1,832.72
  6. Step 6: Final answer
    x = 1,386.54

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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.