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Finding the Fourth Proportional to 1,605.65, 2,408.47 and 1,578.31

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Solution

The fourth proportional to 1,605.65, 2,408.47 and 1,578.31 is: 2,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.65 : 2,408.47 = 1,578.31 : x
  2. Step 2: Convert to fraction form
    1,605.65/2,408.47 = 1,578.31/x
  3. Step 3: Cross multiply
    1,605.65x = 2,408.47 × 1,578.31
  4. Step 4: Simplify right side
    1,605.65x = 3,801,302.32
  5. Step 5: Solve for x
    x = 3,801,302.32/1,605.65
  6. Step 6: Final answer
    x = 2,367.46

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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.