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Finding the Fourth Proportional to 2,667.48, 3,676.69 and 1,782.96

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Solution

The fourth proportional to 2,667.48, 3,676.69 and 1,782.96 is: 2,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.48 : 3,676.69 = 1,782.96 : x
  2. Step 2: Convert to fraction form
    2,667.48/3,676.69 = 1,782.96/x
  3. Step 3: Cross multiply
    2,667.48x = 3,676.69 × 1,782.96
  4. Step 4: Simplify right side
    2,667.48x = 6,555,391.20
  5. Step 5: Solve for x
    x = 6,555,391.20/2,667.48
  6. Step 6: Final answer
    x = 2,457.52

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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.