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Finding the Fourth Proportional to 2,769.02, 4,154.49 and 821.51

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Solution

The fourth proportional to 2,769.02, 4,154.49 and 821.51 is: 1,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.02 : 4,154.49 = 821.51 : x
  2. Step 2: Convert to fraction form
    2,769.02/4,154.49 = 821.51/x
  3. Step 3: Cross multiply
    2,769.02x = 4,154.49 × 821.51
  4. Step 4: Simplify right side
    2,769.02x = 3,412,955.08
  5. Step 5: Solve for x
    x = 3,412,955.08/2,769.02
  6. Step 6: Final answer
    x = 1,232.55

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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.