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Finding the Fourth Proportional to 2,776.66, 4,164.55 and 828.41

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Solution

The fourth proportional to 2,776.66, 4,164.55 and 828.41 is: 1,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.66 : 4,164.55 = 828.41 : x
  2. Step 2: Convert to fraction form
    2,776.66/4,164.55 = 828.41/x
  3. Step 3: Cross multiply
    2,776.66x = 4,164.55 × 828.41
  4. Step 4: Simplify right side
    2,776.66x = 3,449,931.97
  5. Step 5: Solve for x
    x = 3,449,931.97/2,776.66
  6. Step 6: Final answer
    x = 1,242.48

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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.