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Finding the Fourth Proportional to 1,846.19, 2,769.74 and 547.66

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Solution

The fourth proportional to 1,846.19, 2,769.74 and 547.66 is: 821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.19 : 2,769.74 = 547.66 : x
  2. Step 2: Convert to fraction form
    1,846.19/2,769.74 = 547.66/x
  3. Step 3: Cross multiply
    1,846.19x = 2,769.74 × 547.66
  4. Step 4: Simplify right side
    1,846.19x = 1,516,873.07
  5. Step 5: Solve for x
    x = 1,516,873.07/1,846.19
  6. Step 6: Final answer
    x = 821.62

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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.