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Finding the Fourth Proportional to 2,778.96, 4,165.71 and 1,319.14

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Solution

The fourth proportional to 2,778.96, 4,165.71 and 1,319.14 is: 1,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.96 : 4,165.71 = 1,319.14 : x
  2. Step 2: Convert to fraction form
    2,778.96/4,165.71 = 1,319.14/x
  3. Step 3: Cross multiply
    2,778.96x = 4,165.71 × 1,319.14
  4. Step 4: Simplify right side
    2,778.96x = 5,495,162.37
  5. Step 5: Solve for x
    x = 5,495,162.37/2,778.96
  6. Step 6: Final answer
    x = 1,977.41

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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.