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Finding the Fourth Proportional to 2,620.82, 3,931.27 and 977.27

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Solution

The fourth proportional to 2,620.82, 3,931.27 and 977.27 is: 1,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.82 : 3,931.27 = 977.27 : x
  2. Step 2: Convert to fraction form
    2,620.82/3,931.27 = 977.27/x
  3. Step 3: Cross multiply
    2,620.82x = 3,931.27 × 977.27
  4. Step 4: Simplify right side
    2,620.82x = 3,841,890.13
  5. Step 5: Solve for x
    x = 3,841,890.13/2,620.82
  6. Step 6: Final answer
    x = 1,465.91

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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.