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Finding the Fourth Proportional to 1,852.29, 2,778.43 and 742.21

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Solution

The fourth proportional to 1,852.29, 2,778.43 and 742.21 is: 1,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.29 : 2,778.43 = 742.21 : x
  2. Step 2: Convert to fraction form
    1,852.29/2,778.43 = 742.21/x
  3. Step 3: Cross multiply
    1,852.29x = 2,778.43 × 742.21
  4. Step 4: Simplify right side
    1,852.29x = 2,062,164.64
  5. Step 5: Solve for x
    x = 2,062,164.64/1,852.29
  6. Step 6: Final answer
    x = 1,113.31

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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.