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Finding the Fourth Proportional to 2,076.42, 3,115.06 and 615.44

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Solution

The fourth proportional to 2,076.42, 3,115.06 and 615.44 is: 923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.42 : 3,115.06 = 615.44 : x
  2. Step 2: Convert to fraction form
    2,076.42/3,115.06 = 615.44/x
  3. Step 3: Cross multiply
    2,076.42x = 3,115.06 × 615.44
  4. Step 4: Simplify right side
    2,076.42x = 1,917,132.53
  5. Step 5: Solve for x
    x = 1,917,132.53/2,076.42
  6. Step 6: Final answer
    x = 923.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.