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Finding the Fourth Proportional to 1,846.76, 2,769.93 and 548.13

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Solution

The fourth proportional to 1,846.76, 2,769.93 and 548.13 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.76 : 2,769.93 = 548.13 : x
  2. Step 2: Convert to fraction form
    1,846.76/2,769.93 = 548.13/x
  3. Step 3: Cross multiply
    1,846.76x = 2,769.93 × 548.13
  4. Step 4: Simplify right side
    1,846.76x = 1,518,281.73
  5. Step 5: Solve for x
    x = 1,518,281.73/1,846.76
  6. Step 6: Final answer
    x = 822.13

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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.