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Finding the Fourth Proportional to 1,852.72, 2,779.88 and 757.86

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Solution

The fourth proportional to 1,852.72, 2,779.88 and 757.86 is: 1,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.72 : 2,779.88 = 757.86 : x
  2. Step 2: Convert to fraction form
    1,852.72/2,779.88 = 757.86/x
  3. Step 3: Cross multiply
    1,852.72x = 2,779.88 × 757.86
  4. Step 4: Simplify right side
    1,852.72x = 2,106,759.86
  5. Step 5: Solve for x
    x = 2,106,759.86/1,852.72
  6. Step 6: Final answer
    x = 1,137.12

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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.