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Finding the Fourth Proportional to 2,578.41, 3,870.35 and 1,605.20

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Solution

The fourth proportional to 2,578.41, 3,870.35 and 1,605.20 is: 2,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.41 : 3,870.35 = 1,605.20 : x
  2. Step 2: Convert to fraction form
    2,578.41/3,870.35 = 1,605.20/x
  3. Step 3: Cross multiply
    2,578.41x = 3,870.35 × 1,605.20
  4. Step 4: Simplify right side
    2,578.41x = 6,212,658.44
  5. Step 5: Solve for x
    x = 6,212,658.44/2,578.41
  6. Step 6: Final answer
    x = 2,409.49

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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.