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Finding the Fourth Proportional to 1,852.20, 2,779.38 and 757.35

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Solution

The fourth proportional to 1,852.20, 2,779.38 and 757.35 is: 1,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.20 : 2,779.38 = 757.35 : x
  2. Step 2: Convert to fraction form
    1,852.20/2,779.38 = 757.35/x
  3. Step 3: Cross multiply
    1,852.20x = 2,779.38 × 757.35
  4. Step 4: Simplify right side
    1,852.20x = 2,104,963.44
  5. Step 5: Solve for x
    x = 2,104,963.44/1,852.20
  6. Step 6: Final answer
    x = 1,136.47

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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.