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Finding the Fourth Proportional to 1,471.36, 2,029.44 and 1,006.72

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Solution

The fourth proportional to 1,471.36, 2,029.44 and 1,006.72 is: 1,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.36 : 2,029.44 = 1,006.72 : x
  2. Step 2: Convert to fraction form
    1,471.36/2,029.44 = 1,006.72/x
  3. Step 3: Cross multiply
    1,471.36x = 2,029.44 × 1,006.72
  4. Step 4: Simplify right side
    1,471.36x = 2,043,077.84
  5. Step 5: Solve for x
    x = 2,043,077.84/1,471.36
  6. Step 6: Final answer
    x = 1,388.56

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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.