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Finding the Fourth Proportional to 2,596.34, 3,583.04 and 1,601.60

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Solution

The fourth proportional to 2,596.34, 3,583.04 and 1,601.60 is: 2,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.34 : 3,583.04 = 1,601.60 : x
  2. Step 2: Convert to fraction form
    2,596.34/3,583.04 = 1,601.60/x
  3. Step 3: Cross multiply
    2,596.34x = 3,583.04 × 1,601.60
  4. Step 4: Simplify right side
    2,596.34x = 5,738,570.94
  5. Step 5: Solve for x
    x = 5,738,570.94/2,596.34
  6. Step 6: Final answer
    x = 2,210.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.