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Finding the Fourth Proportional to 2,804, 4,207.80 and 1,265

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Solution

The fourth proportional to 2,804, 4,207.80 and 1,265 is: 1,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804 : 4,207.80 = 1,265 : x
  2. Step 2: Convert to fraction form
    2,804/4,207.80 = 1,265/x
  3. Step 3: Cross multiply
    2,804x = 4,207.80 × 1,265
  4. Step 4: Simplify right side
    2,804x = 5,322,867
  5. Step 5: Solve for x
    x = 5,322,867/2,804
  6. Step 6: Final answer
    x = 1,898.31

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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.