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Finding the Fourth Proportional to 2,725.33, 3,762.11 and 1,842.33

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Solution

The fourth proportional to 2,725.33, 3,762.11 and 1,842.33 is: 2,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.33 : 3,762.11 = 1,842.33 : x
  2. Step 2: Convert to fraction form
    2,725.33/3,762.11 = 1,842.33/x
  3. Step 3: Cross multiply
    2,725.33x = 3,762.11 × 1,842.33
  4. Step 4: Simplify right side
    2,725.33x = 6,931,048.12
  5. Step 5: Solve for x
    x = 6,931,048.12/2,725.33
  6. Step 6: Final answer
    x = 2,543.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.