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Finding the Fourth Proportional to 2,076.22, 3,114.34 and 615.38

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Solution

The fourth proportional to 2,076.22, 3,114.34 and 615.38 is: 923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.22 : 3,114.34 = 615.38 : x
  2. Step 2: Convert to fraction form
    2,076.22/3,114.34 = 615.38/x
  3. Step 3: Cross multiply
    2,076.22x = 3,114.34 × 615.38
  4. Step 4: Simplify right side
    2,076.22x = 1,916,499.47
  5. Step 5: Solve for x
    x = 1,916,499.47/2,076.22
  6. Step 6: Final answer
    x = 923.07

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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.