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Finding the Fourth Proportional to 1,779.10, 2,667.38 and 682.54

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Solution

The fourth proportional to 1,779.10, 2,667.38 and 682.54 is: 1,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.10 : 2,667.38 = 682.54 : x
  2. Step 2: Convert to fraction form
    1,779.10/2,667.38 = 682.54/x
  3. Step 3: Cross multiply
    1,779.10x = 2,667.38 × 682.54
  4. Step 4: Simplify right side
    1,779.10x = 1,820,593.55
  5. Step 5: Solve for x
    x = 1,820,593.55/1,779.10
  6. Step 6: Final answer
    x = 1,023.32

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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.