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Finding the Fourth Proportional to 1,936.45, 2,904.79 and 549.68

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Solution

The fourth proportional to 1,936.45, 2,904.79 and 549.68 is: 824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.45 : 2,904.79 = 549.68 : x
  2. Step 2: Convert to fraction form
    1,936.45/2,904.79 = 549.68/x
  3. Step 3: Cross multiply
    1,936.45x = 2,904.79 × 549.68
  4. Step 4: Simplify right side
    1,936.45x = 1,596,687.69
  5. Step 5: Solve for x
    x = 1,596,687.69/1,936.45
  6. Step 6: Final answer
    x = 824.54

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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.