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Finding the Fourth Proportional to 2,076.94, 3,111.28 and 977.97

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Solution

The fourth proportional to 2,076.94, 3,111.28 and 977.97 is: 1,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.94 : 3,111.28 = 977.97 : x
  2. Step 2: Convert to fraction form
    2,076.94/3,111.28 = 977.97/x
  3. Step 3: Cross multiply
    2,076.94x = 3,111.28 × 977.97
  4. Step 4: Simplify right side
    2,076.94x = 3,042,747.72
  5. Step 5: Solve for x
    x = 3,042,747.72/2,076.94
  6. Step 6: Final answer
    x = 1,465.01

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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.