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Finding the Fourth Proportional to 2,295.50, 3,443.25 and 1,269.50

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Solution

The fourth proportional to 2,295.50, 3,443.25 and 1,269.50 is: 1,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.50 : 3,443.25 = 1,269.50 : x
  2. Step 2: Convert to fraction form
    2,295.50/3,443.25 = 1,269.50/x
  3. Step 3: Cross multiply
    2,295.50x = 3,443.25 × 1,269.50
  4. Step 4: Simplify right side
    2,295.50x = 4,371,205.88
  5. Step 5: Solve for x
    x = 4,371,205.88/2,295.50
  6. Step 6: Final answer
    x = 1,904.25

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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.