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Finding the Fourth Proportional to 2,072.86, 2,856.72 and 1,757.12

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Solution

The fourth proportional to 2,072.86, 2,856.72 and 1,757.12 is: 2,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.86 : 2,856.72 = 1,757.12 : x
  2. Step 2: Convert to fraction form
    2,072.86/2,856.72 = 1,757.12/x
  3. Step 3: Cross multiply
    2,072.86x = 2,856.72 × 1,757.12
  4. Step 4: Simplify right side
    2,072.86x = 5,019,599.85
  5. Step 5: Solve for x
    x = 5,019,599.85/2,072.86
  6. Step 6: Final answer
    x = 2,421.58

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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.