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Finding the Fourth Proportional to 1,638.71, 2,259.70 and 1,403.44

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Solution

The fourth proportional to 1,638.71, 2,259.70 and 1,403.44 is: 1,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.71 : 2,259.70 = 1,403.44 : x
  2. Step 2: Convert to fraction form
    1,638.71/2,259.70 = 1,403.44/x
  3. Step 3: Cross multiply
    1,638.71x = 2,259.70 × 1,403.44
  4. Step 4: Simplify right side
    1,638.71x = 3,171,351.83
  5. Step 5: Solve for x
    x = 3,171,351.83/1,638.71
  6. Step 6: Final answer
    x = 1,935.27

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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.