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Finding the Fourth Proportional to 1,852.57, 2,779.31 and 1,305.82

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Solution

The fourth proportional to 1,852.57, 2,779.31 and 1,305.82 is: 1,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.57 : 2,779.31 = 1,305.82 : x
  2. Step 2: Convert to fraction form
    1,852.57/2,779.31 = 1,305.82/x
  3. Step 3: Cross multiply
    1,852.57x = 2,779.31 × 1,305.82
  4. Step 4: Simplify right side
    1,852.57x = 3,629,278.58
  5. Step 5: Solve for x
    x = 3,629,278.58/1,852.57
  6. Step 6: Final answer
    x = 1,959.05

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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.