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Finding the Fourth Proportional to 4,457.61, 6,682.77 and 1,682.71

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Solution

The fourth proportional to 4,457.61, 6,682.77 and 1,682.71 is: 2,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.61 : 6,682.77 = 1,682.71 : x
  2. Step 2: Convert to fraction form
    4,457.61/6,682.77 = 1,682.71/x
  3. Step 3: Cross multiply
    4,457.61x = 6,682.77 × 1,682.71
  4. Step 4: Simplify right side
    4,457.61x = 11,245,147.20
  5. Step 5: Solve for x
    x = 11,245,147.20/4,457.61
  6. Step 6: Final answer
    x = 2,522.69

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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.