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Finding the Fourth Proportional to 2,609.64, 3,594 and 2,601.60

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Solution

The fourth proportional to 2,609.64, 3,594 and 2,601.60 is: 3,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,594 = 2,601.60 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,594 = 2,601.60/x
  3. Step 3: Cross multiply
    2,609.64x = 3,594 × 2,601.60
  4. Step 4: Simplify right side
    2,609.64x = 9,350,150.40
  5. Step 5: Solve for x
    x = 9,350,150.40/2,609.64
  6. Step 6: Final answer
    x = 3,582.93

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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.