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Finding the Fourth Proportional to 2,779.45, 4,169.38 and 930.57

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Solution

The fourth proportional to 2,779.45, 4,169.38 and 930.57 is: 1,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.45 : 4,169.38 = 930.57 : x
  2. Step 2: Convert to fraction form
    2,779.45/4,169.38 = 930.57/x
  3. Step 3: Cross multiply
    2,779.45x = 4,169.38 × 930.57
  4. Step 4: Simplify right side
    2,779.45x = 3,879,899.95
  5. Step 5: Solve for x
    x = 3,879,899.95/2,779.45
  6. Step 6: Final answer
    x = 1,395.92

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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.