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Finding the Fourth Proportional to 2,076.72, 2,864.49 and 1,634.46

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Solution

The fourth proportional to 2,076.72, 2,864.49 and 1,634.46 is: 2,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.72 : 2,864.49 = 1,634.46 : x
  2. Step 2: Convert to fraction form
    2,076.72/2,864.49 = 1,634.46/x
  3. Step 3: Cross multiply
    2,076.72x = 2,864.49 × 1,634.46
  4. Step 4: Simplify right side
    2,076.72x = 4,681,894.33
  5. Step 5: Solve for x
    x = 4,681,894.33/2,076.72
  6. Step 6: Final answer
    x = 2,254.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.