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Finding the Fourth Proportional to 2,776.16, 4,164.24 and 2,706.50

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Solution

The fourth proportional to 2,776.16, 4,164.24 and 2,706.50 is: 4,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.16 : 4,164.24 = 2,706.50 : x
  2. Step 2: Convert to fraction form
    2,776.16/4,164.24 = 2,706.50/x
  3. Step 3: Cross multiply
    2,776.16x = 4,164.24 × 2,706.50
  4. Step 4: Simplify right side
    2,776.16x = 11,270,494.74
  5. Step 5: Solve for x
    x = 11,270,494.74/2,776.16
  6. Step 6: Final answer
    x = 4,059.75

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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.