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Finding the Fourth Proportional to 3,271.72, 4,514.93 and 1,779.65

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Solution

The fourth proportional to 3,271.72, 4,514.93 and 1,779.65 is: 2,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.72 : 4,514.93 = 1,779.65 : x
  2. Step 2: Convert to fraction form
    3,271.72/4,514.93 = 1,779.65/x
  3. Step 3: Cross multiply
    3,271.72x = 4,514.93 × 1,779.65
  4. Step 4: Simplify right side
    3,271.72x = 8,034,995.77
  5. Step 5: Solve for x
    x = 8,034,995.77/3,271.72
  6. Step 6: Final answer
    x = 2,455.89

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