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Finding the Fourth Proportional to 1,852.72, 2,779.94 and 812.59

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Solution

The fourth proportional to 1,852.72, 2,779.94 and 812.59 is: 1,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.72 : 2,779.94 = 812.59 : x
  2. Step 2: Convert to fraction form
    1,852.72/2,779.94 = 812.59/x
  3. Step 3: Cross multiply
    1,852.72x = 2,779.94 × 812.59
  4. Step 4: Simplify right side
    1,852.72x = 2,258,951.44
  5. Step 5: Solve for x
    x = 2,258,951.44/1,852.72
  6. Step 6: Final answer
    x = 1,219.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.