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Finding the Fourth Proportional to 1,472.00, 2,028.31 and 1,052.01

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Solution

The fourth proportional to 1,472.00, 2,028.31 and 1,052.01 is: 1,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.00 : 2,028.31 = 1,052.01 : x
  2. Step 2: Convert to fraction form
    1,472.00/2,028.31 = 1,052.01/x
  3. Step 3: Cross multiply
    1,472.00x = 2,028.31 × 1,052.01
  4. Step 4: Simplify right side
    1,472.00x = 2,133,799.77
  5. Step 5: Solve for x
    x = 2,133,799.77/1,472.00
  6. Step 6: Final answer
    x = 1,449.60

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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.