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Finding the Fourth Proportional to 2,739.42, 3,779.73 and 1,854.90

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Solution

The fourth proportional to 2,739.42, 3,779.73 and 1,854.90 is: 2,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.42 : 3,779.73 = 1,854.90 : x
  2. Step 2: Convert to fraction form
    2,739.42/3,779.73 = 1,854.90/x
  3. Step 3: Cross multiply
    2,739.42x = 3,779.73 × 1,854.90
  4. Step 4: Simplify right side
    2,739.42x = 7,011,021.18
  5. Step 5: Solve for x
    x = 7,011,021.18/2,739.42
  6. Step 6: Final answer
    x = 2,559.31

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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.