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Finding the Fourth Proportional to 2,310.95, 3,464.75 and 1,578.23

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Solution

The fourth proportional to 2,310.95, 3,464.75 and 1,578.23 is: 2,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.95 : 3,464.75 = 1,578.23 : x
  2. Step 2: Convert to fraction form
    2,310.95/3,464.75 = 1,578.23/x
  3. Step 3: Cross multiply
    2,310.95x = 3,464.75 × 1,578.23
  4. Step 4: Simplify right side
    2,310.95x = 5,468,164.50
  5. Step 5: Solve for x
    x = 5,468,164.50/2,310.95
  6. Step 6: Final answer
    x = 2,366.20

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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.