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Finding the Fourth Proportional to 2,188.56, 3,020.16 and 1,257.12

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Solution

The fourth proportional to 2,188.56, 3,020.16 and 1,257.12 is: 1,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.56 : 3,020.16 = 1,257.12 : x
  2. Step 2: Convert to fraction form
    2,188.56/3,020.16 = 1,257.12/x
  3. Step 3: Cross multiply
    2,188.56x = 3,020.16 × 1,257.12
  4. Step 4: Simplify right side
    2,188.56x = 3,796,703.54
  5. Step 5: Solve for x
    x = 3,796,703.54/2,188.56
  6. Step 6: Final answer
    x = 1,734.80

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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.