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Finding the Fourth Proportional to 2,076.04, 3,114.67 and 615.23

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Solution

The fourth proportional to 2,076.04, 3,114.67 and 615.23 is: 923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.04 : 3,114.67 = 615.23 : x
  2. Step 2: Convert to fraction form
    2,076.04/3,114.67 = 615.23/x
  3. Step 3: Cross multiply
    2,076.04x = 3,114.67 × 615.23
  4. Step 4: Simplify right side
    2,076.04x = 1,916,238.42
  5. Step 5: Solve for x
    x = 1,916,238.42/2,076.04
  6. Step 6: Final answer
    x = 923.03

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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.