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Finding the Fourth Proportional to 2,767.04, 3,809.76 and 2,244.80

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Solution

The fourth proportional to 2,767.04, 3,809.76 and 2,244.80 is: 3,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.04 : 3,809.76 = 2,244.80 : x
  2. Step 2: Convert to fraction form
    2,767.04/3,809.76 = 2,244.80/x
  3. Step 3: Cross multiply
    2,767.04x = 3,809.76 × 2,244.80
  4. Step 4: Simplify right side
    2,767.04x = 8,552,149.25
  5. Step 5: Solve for x
    x = 8,552,149.25/2,767.04
  6. Step 6: Final answer
    x = 3,090.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.