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Finding the Fourth Proportional to 3,083.04, 4,626 and 1,785.60

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Solution

The fourth proportional to 3,083.04, 4,626 and 1,785.60 is: 2,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.04 : 4,626 = 1,785.60 : x
  2. Step 2: Convert to fraction form
    3,083.04/4,626 = 1,785.60/x
  3. Step 3: Cross multiply
    3,083.04x = 4,626 × 1,785.60
  4. Step 4: Simplify right side
    3,083.04x = 8,260,185.60
  5. Step 5: Solve for x
    x = 8,260,185.60/3,083.04
  6. Step 6: Final answer
    x = 2,679.23

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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.