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Finding the Fourth Proportional to 2,076.51, 3,114.23 and 615.32

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Solution

The fourth proportional to 2,076.51, 3,114.23 and 615.32 is: 922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.51 : 3,114.23 = 615.32 : x
  2. Step 2: Convert to fraction form
    2,076.51/3,114.23 = 615.32/x
  3. Step 3: Cross multiply
    2,076.51x = 3,114.23 × 615.32
  4. Step 4: Simplify right side
    2,076.51x = 1,916,249.54
  5. Step 5: Solve for x
    x = 1,916,249.54/2,076.51
  6. Step 6: Final answer
    x = 922.82

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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.