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Finding the Fourth Proportional to 2,779.27, 3,833.72 and 1,835.06

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Solution

The fourth proportional to 2,779.27, 3,833.72 and 1,835.06 is: 2,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.27 : 3,833.72 = 1,835.06 : x
  2. Step 2: Convert to fraction form
    2,779.27/3,833.72 = 1,835.06/x
  3. Step 3: Cross multiply
    2,779.27x = 3,833.72 × 1,835.06
  4. Step 4: Simplify right side
    2,779.27x = 7,035,106.33
  5. Step 5: Solve for x
    x = 7,035,106.33/2,779.27
  6. Step 6: Final answer
    x = 2,531.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.