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Finding the Fourth Proportional to 1,730.45, 2,583.12 and 1,601.97

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Solution

The fourth proportional to 1,730.45, 2,583.12 and 1,601.97 is: 2,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.45 : 2,583.12 = 1,601.97 : x
  2. Step 2: Convert to fraction form
    1,730.45/2,583.12 = 1,601.97/x
  3. Step 3: Cross multiply
    1,730.45x = 2,583.12 × 1,601.97
  4. Step 4: Simplify right side
    1,730.45x = 4,138,080.75
  5. Step 5: Solve for x
    x = 4,138,080.75/1,730.45
  6. Step 6: Final answer
    x = 2,391.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.