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Finding the Fourth Proportional to 2,820.33, 4,230.38 and 740.33

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Solution

The fourth proportional to 2,820.33, 4,230.38 and 740.33 is: 1,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.33 : 4,230.38 = 740.33 : x
  2. Step 2: Convert to fraction form
    2,820.33/4,230.38 = 740.33/x
  3. Step 3: Cross multiply
    2,820.33x = 4,230.38 × 740.33
  4. Step 4: Simplify right side
    2,820.33x = 3,131,877.23
  5. Step 5: Solve for x
    x = 3,131,877.23/2,820.33
  6. Step 6: Final answer
    x = 1,110.46

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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.