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Finding the Fourth Proportional to 1,648.56, 2,472.73 and 1,101.07

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Solution

The fourth proportional to 1,648.56, 2,472.73 and 1,101.07 is: 1,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.56 : 2,472.73 = 1,101.07 : x
  2. Step 2: Convert to fraction form
    1,648.56/2,472.73 = 1,101.07/x
  3. Step 3: Cross multiply
    1,648.56x = 2,472.73 × 1,101.07
  4. Step 4: Simplify right side
    1,648.56x = 2,722,648.82
  5. Step 5: Solve for x
    x = 2,722,648.82/1,648.56
  6. Step 6: Final answer
    x = 1,651.53

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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.