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Finding the Fourth Proportional to 1,936.70, 2,905.16 and 549.93

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Solution

The fourth proportional to 1,936.70, 2,905.16 and 549.93 is: 824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.70 : 2,905.16 = 549.93 : x
  2. Step 2: Convert to fraction form
    1,936.70/2,905.16 = 549.93/x
  3. Step 3: Cross multiply
    1,936.70x = 2,905.16 × 549.93
  4. Step 4: Simplify right side
    1,936.70x = 1,597,620.11
  5. Step 5: Solve for x
    x = 1,597,620.11/1,936.70
  6. Step 6: Final answer
    x = 824.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.