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Finding the Fourth Proportional to 2,485.10, 3,728.10 and 1,023.45

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Solution

The fourth proportional to 2,485.10, 3,728.10 and 1,023.45 is: 1,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.10 : 3,728.10 = 1,023.45 : x
  2. Step 2: Convert to fraction form
    2,485.10/3,728.10 = 1,023.45/x
  3. Step 3: Cross multiply
    2,485.10x = 3,728.10 × 1,023.45
  4. Step 4: Simplify right side
    2,485.10x = 3,815,523.95
  5. Step 5: Solve for x
    x = 3,815,523.95/2,485.10
  6. Step 6: Final answer
    x = 1,535.36

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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.