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Finding the Fourth Proportional to 2,583.08, 3,871.08 and 1,485.20

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Solution

The fourth proportional to 2,583.08, 3,871.08 and 1,485.20 is: 2,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.08 : 3,871.08 = 1,485.20 : x
  2. Step 2: Convert to fraction form
    2,583.08/3,871.08 = 1,485.20/x
  3. Step 3: Cross multiply
    2,583.08x = 3,871.08 × 1,485.20
  4. Step 4: Simplify right side
    2,583.08x = 5,749,328.02
  5. Step 5: Solve for x
    x = 5,749,328.02/2,583.08
  6. Step 6: Final answer
    x = 2,225.76

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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.