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Finding the Fourth Proportional to 2,804.22, 4,205.96 and 955.26

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Solution

The fourth proportional to 2,804.22, 4,205.96 and 955.26 is: 1,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.22 : 4,205.96 = 955.26 : x
  2. Step 2: Convert to fraction form
    2,804.22/4,205.96 = 955.26/x
  3. Step 3: Cross multiply
    2,804.22x = 4,205.96 × 955.26
  4. Step 4: Simplify right side
    2,804.22x = 4,017,785.35
  5. Step 5: Solve for x
    x = 4,017,785.35/2,804.22
  6. Step 6: Final answer
    x = 1,432.76

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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.