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Finding the Fourth Proportional to 1,647.73, 2,274.61 and 1,051.03

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Solution

The fourth proportional to 1,647.73, 2,274.61 and 1,051.03 is: 1,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.73 : 2,274.61 = 1,051.03 : x
  2. Step 2: Convert to fraction form
    1,647.73/2,274.61 = 1,051.03/x
  3. Step 3: Cross multiply
    1,647.73x = 2,274.61 × 1,051.03
  4. Step 4: Simplify right side
    1,647.73x = 2,390,671.98
  5. Step 5: Solve for x
    x = 2,390,671.98/1,647.73
  6. Step 6: Final answer
    x = 1,450.89

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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.