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Finding the Fourth Proportional to 2,514.17, 3,765.07 and 2,072.72

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Solution

The fourth proportional to 2,514.17, 3,765.07 and 2,072.72 is: 3,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.17 : 3,765.07 = 2,072.72 : x
  2. Step 2: Convert to fraction form
    2,514.17/3,765.07 = 2,072.72/x
  3. Step 3: Cross multiply
    2,514.17x = 3,765.07 × 2,072.72
  4. Step 4: Simplify right side
    2,514.17x = 7,803,935.89
  5. Step 5: Solve for x
    x = 7,803,935.89/2,514.17
  6. Step 6: Final answer
    x = 3,103.98

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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.