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Finding the Fourth Proportional to 3,271.33, 4,514.43 and 1,779.22

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Solution

The fourth proportional to 3,271.33, 4,514.43 and 1,779.22 is: 2,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.33 : 4,514.43 = 1,779.22 : x
  2. Step 2: Convert to fraction form
    3,271.33/4,514.43 = 1,779.22/x
  3. Step 3: Cross multiply
    3,271.33x = 4,514.43 × 1,779.22
  4. Step 4: Simplify right side
    3,271.33x = 8,032,164.14
  5. Step 5: Solve for x
    x = 8,032,164.14/3,271.33
  6. Step 6: Final answer
    x = 2,455.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.