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Finding the Fourth Proportional to 1,637.44, 2,259.64 and 974.27

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Solution

The fourth proportional to 1,637.44, 2,259.64 and 974.27 is: 1,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.44 : 2,259.64 = 974.27 : x
  2. Step 2: Convert to fraction form
    1,637.44/2,259.64 = 974.27/x
  3. Step 3: Cross multiply
    1,637.44x = 2,259.64 × 974.27
  4. Step 4: Simplify right side
    1,637.44x = 2,201,506.33
  5. Step 5: Solve for x
    x = 2,201,506.33/1,637.44
  6. Step 6: Final answer
    x = 1,344.48

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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.