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Finding the Fourth Proportional to 2,722.57, 4,083.86 and 774.77

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Solution

The fourth proportional to 2,722.57, 4,083.86 and 774.77 is: 1,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.57 : 4,083.86 = 774.77 : x
  2. Step 2: Convert to fraction form
    2,722.57/4,083.86 = 774.77/x
  3. Step 3: Cross multiply
    2,722.57x = 4,083.86 × 774.77
  4. Step 4: Simplify right side
    2,722.57x = 3,164,069.11
  5. Step 5: Solve for x
    x = 3,164,069.11/2,722.57
  6. Step 6: Final answer
    x = 1,162.16

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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.