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Finding the Fourth Proportional to 1,245.12, 1,866.24 and 1,028.16

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Solution

The fourth proportional to 1,245.12, 1,866.24 and 1,028.16 is: 1,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.12 : 1,866.24 = 1,028.16 : x
  2. Step 2: Convert to fraction form
    1,245.12/1,866.24 = 1,028.16/x
  3. Step 3: Cross multiply
    1,245.12x = 1,866.24 × 1,028.16
  4. Step 4: Simplify right side
    1,245.12x = 1,918,793.32
  5. Step 5: Solve for x
    x = 1,918,793.32/1,245.12
  6. Step 6: Final answer
    x = 1,541.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.