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Finding the Fourth Proportional to 1,936.01, 2,903.43 and 549.46

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Solution

The fourth proportional to 1,936.01, 2,903.43 and 549.46 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.01 : 2,903.43 = 549.46 : x
  2. Step 2: Convert to fraction form
    1,936.01/2,903.43 = 549.46/x
  3. Step 3: Cross multiply
    1,936.01x = 2,903.43 × 549.46
  4. Step 4: Simplify right side
    1,936.01x = 1,595,304.92
  5. Step 5: Solve for x
    x = 1,595,304.92/1,936.01
  6. Step 6: Final answer
    x = 824.02

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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.