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Finding the Fourth Proportional to 2,485.57, 3,729.22 and 1,098.72

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Solution

The fourth proportional to 2,485.57, 3,729.22 and 1,098.72 is: 1,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.57 : 3,729.22 = 1,098.72 : x
  2. Step 2: Convert to fraction form
    2,485.57/3,729.22 = 1,098.72/x
  3. Step 3: Cross multiply
    2,485.57x = 3,729.22 × 1,098.72
  4. Step 4: Simplify right side
    2,485.57x = 4,097,368.60
  5. Step 5: Solve for x
    x = 4,097,368.60/2,485.57
  6. Step 6: Final answer
    x = 1,648.47

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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.