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Finding the Fourth Proportional to 2,779.96, 4,165.74 and 1,852.24

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Solution

The fourth proportional to 2,779.96, 4,165.74 and 1,852.24 is: 2,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.96 : 4,165.74 = 1,852.24 : x
  2. Step 2: Convert to fraction form
    2,779.96/4,165.74 = 1,852.24/x
  3. Step 3: Cross multiply
    2,779.96x = 4,165.74 × 1,852.24
  4. Step 4: Simplify right side
    2,779.96x = 7,715,950.26
  5. Step 5: Solve for x
    x = 7,715,950.26/2,779.96
  6. Step 6: Final answer
    x = 2,775.56

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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.