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Finding the Fourth Proportional to 2,485.72, 3,727.12 and 1,023.12

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Solution

The fourth proportional to 2,485.72, 3,727.12 and 1,023.12 is: 1,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.72 : 3,727.12 = 1,023.12 : x
  2. Step 2: Convert to fraction form
    2,485.72/3,727.12 = 1,023.12/x
  3. Step 3: Cross multiply
    2,485.72x = 3,727.12 × 1,023.12
  4. Step 4: Simplify right side
    2,485.72x = 3,813,291.01
  5. Step 5: Solve for x
    x = 3,813,291.01/2,485.72
  6. Step 6: Final answer
    x = 1,534.08

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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.