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Finding the Fourth Proportional to 1,735.65, 2,609.73 and 1,600.35

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Solution

The fourth proportional to 1,735.65, 2,609.73 and 1,600.35 is: 2,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.65 : 2,609.73 = 1,600.35 : x
  2. Step 2: Convert to fraction form
    1,735.65/2,609.73 = 1,600.35/x
  3. Step 3: Cross multiply
    1,735.65x = 2,609.73 × 1,600.35
  4. Step 4: Simplify right side
    1,735.65x = 4,176,481.41
  5. Step 5: Solve for x
    x = 4,176,481.41/1,735.65
  6. Step 6: Final answer
    x = 2,406.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.