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Finding the Fourth Proportional to 3,072.85, 4,609.47 and 1,514.14

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Solution

The fourth proportional to 3,072.85, 4,609.47 and 1,514.14 is: 2,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.85 : 4,609.47 = 1,514.14 : x
  2. Step 2: Convert to fraction form
    3,072.85/4,609.47 = 1,514.14/x
  3. Step 3: Cross multiply
    3,072.85x = 4,609.47 × 1,514.14
  4. Step 4: Simplify right side
    3,072.85x = 6,979,382.91
  5. Step 5: Solve for x
    x = 6,979,382.91/3,072.85
  6. Step 6: Final answer
    x = 2,271.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.