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Finding the Fourth Proportional to 2,747.37, 4,114.13 and 1,820.13

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Solution

The fourth proportional to 2,747.37, 4,114.13 and 1,820.13 is: 2,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.37 : 4,114.13 = 1,820.13 : x
  2. Step 2: Convert to fraction form
    2,747.37/4,114.13 = 1,820.13/x
  3. Step 3: Cross multiply
    2,747.37x = 4,114.13 × 1,820.13
  4. Step 4: Simplify right side
    2,747.37x = 7,488,242.34
  5. Step 5: Solve for x
    x = 7,488,242.34/2,747.37
  6. Step 6: Final answer
    x = 2,725.60

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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.