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Finding the Fourth Proportional to 1,257.33, 1,735.62 and 1,224.21

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Solution

The fourth proportional to 1,257.33, 1,735.62 and 1,224.21 is: 1,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.33 : 1,735.62 = 1,224.21 : x
  2. Step 2: Convert to fraction form
    1,257.33/1,735.62 = 1,224.21/x
  3. Step 3: Cross multiply
    1,257.33x = 1,735.62 × 1,224.21
  4. Step 4: Simplify right side
    1,257.33x = 2,124,763.36
  5. Step 5: Solve for x
    x = 2,124,763.36/1,257.33
  6. Step 6: Final answer
    x = 1,689.90

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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.