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Finding the Fourth Proportional to 2,651.27, 3,977.51 and 802.44

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Solution

The fourth proportional to 2,651.27, 3,977.51 and 802.44 is: 1,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.27 : 3,977.51 = 802.44 : x
  2. Step 2: Convert to fraction form
    2,651.27/3,977.51 = 802.44/x
  3. Step 3: Cross multiply
    2,651.27x = 3,977.51 × 802.44
  4. Step 4: Simplify right side
    2,651.27x = 3,191,709.11
  5. Step 5: Solve for x
    x = 3,191,709.11/2,651.27
  6. Step 6: Final answer
    x = 1,203.84

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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.