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Finding the Fourth Proportional to 1,222.08, 1,825.44 and 1,027.68

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Solution

The fourth proportional to 1,222.08, 1,825.44 and 1,027.68 is: 1,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.08 : 1,825.44 = 1,027.68 : x
  2. Step 2: Convert to fraction form
    1,222.08/1,825.44 = 1,027.68/x
  3. Step 3: Cross multiply
    1,222.08x = 1,825.44 × 1,027.68
  4. Step 4: Simplify right side
    1,222.08x = 1,875,968.18
  5. Step 5: Solve for x
    x = 1,875,968.18/1,222.08
  6. Step 6: Final answer
    x = 1,535.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.