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Finding the Fourth Proportional to 2,769.47, 3,824.55 and 2,368.79

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Solution

The fourth proportional to 2,769.47, 3,824.55 and 2,368.79 is: 3,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.47 : 3,824.55 = 2,368.79 : x
  2. Step 2: Convert to fraction form
    2,769.47/3,824.55 = 2,368.79/x
  3. Step 3: Cross multiply
    2,769.47x = 3,824.55 × 2,368.79
  4. Step 4: Simplify right side
    2,769.47x = 9,059,555.79
  5. Step 5: Solve for x
    x = 9,059,555.79/2,769.47
  6. Step 6: Final answer
    x = 3,271.22

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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.