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Finding the Fourth Proportional to 4,457.67, 6,682.86 and 1,682.77

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Solution

The fourth proportional to 4,457.67, 6,682.86 and 1,682.77 is: 2,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.67 : 6,682.86 = 1,682.77 : x
  2. Step 2: Convert to fraction form
    4,457.67/6,682.86 = 1,682.77/x
  3. Step 3: Cross multiply
    4,457.67x = 6,682.86 × 1,682.77
  4. Step 4: Simplify right side
    4,457.67x = 11,245,703.82
  5. Step 5: Solve for x
    x = 11,245,703.82/4,457.67
  6. Step 6: Final answer
    x = 2,522.77

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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.