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Finding the Fourth Proportional to 2,596.65, 3,584.01 and 1,757.89

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Solution

The fourth proportional to 2,596.65, 3,584.01 and 1,757.89 is: 2,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.65 : 3,584.01 = 1,757.89 : x
  2. Step 2: Convert to fraction form
    2,596.65/3,584.01 = 1,757.89/x
  3. Step 3: Cross multiply
    2,596.65x = 3,584.01 × 1,757.89
  4. Step 4: Simplify right side
    2,596.65x = 6,300,295.34
  5. Step 5: Solve for x
    x = 6,300,295.34/2,596.65
  6. Step 6: Final answer
    x = 2,426.32

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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.