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Finding the Fourth Proportional to 2,779.53, 4,166.55 and 1,319.71

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Solution

The fourth proportional to 2,779.53, 4,166.55 and 1,319.71 is: 1,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.53 : 4,166.55 = 1,319.71 : x
  2. Step 2: Convert to fraction form
    2,779.53/4,166.55 = 1,319.71/x
  3. Step 3: Cross multiply
    2,779.53x = 4,166.55 × 1,319.71
  4. Step 4: Simplify right side
    2,779.53x = 5,498,627.28
  5. Step 5: Solve for x
    x = 5,498,627.28/2,779.53
  6. Step 6: Final answer
    x = 1,978.26

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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.