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Finding the Fourth Proportional to 2,779.96, 4,167.21 and 1,320.14

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Solution

The fourth proportional to 2,779.96, 4,167.21 and 1,320.14 is: 1,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.96 : 4,167.21 = 1,320.14 : x
  2. Step 2: Convert to fraction form
    2,779.96/4,167.21 = 1,320.14/x
  3. Step 3: Cross multiply
    2,779.96x = 4,167.21 × 1,320.14
  4. Step 4: Simplify right side
    2,779.96x = 5,501,300.61
  5. Step 5: Solve for x
    x = 5,501,300.61/2,779.96
  6. Step 6: Final answer
    x = 1,978.91

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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.