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Finding the Fourth Proportional to 1,637.33, 2,257.94 and 1,263.71

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Solution

The fourth proportional to 1,637.33, 2,257.94 and 1,263.71 is: 1,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.33 : 2,257.94 = 1,263.71 : x
  2. Step 2: Convert to fraction form
    1,637.33/2,257.94 = 1,263.71/x
  3. Step 3: Cross multiply
    1,637.33x = 2,257.94 × 1,263.71
  4. Step 4: Simplify right side
    1,637.33x = 2,853,363.75
  5. Step 5: Solve for x
    x = 2,853,363.75/1,637.33
  6. Step 6: Final answer
    x = 1,742.70

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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.