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Finding the Fourth Proportional to 1,647.47, 2,273.56 and 901.42

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Solution

The fourth proportional to 1,647.47, 2,273.56 and 901.42 is: 1,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.47 : 2,273.56 = 901.42 : x
  2. Step 2: Convert to fraction form
    1,647.47/2,273.56 = 901.42/x
  3. Step 3: Cross multiply
    1,647.47x = 2,273.56 × 901.42
  4. Step 4: Simplify right side
    1,647.47x = 2,049,421.09
  5. Step 5: Solve for x
    x = 2,049,421.09/1,647.47
  6. Step 6: Final answer
    x = 1,243.98

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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.