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Finding the Fourth Proportional to 1,936.23, 2,903.98 and 549.24

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Solution

The fourth proportional to 1,936.23, 2,903.98 and 549.24 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.23 : 2,903.98 = 549.24 : x
  2. Step 2: Convert to fraction form
    1,936.23/2,903.98 = 549.24/x
  3. Step 3: Cross multiply
    1,936.23x = 2,903.98 × 549.24
  4. Step 4: Simplify right side
    1,936.23x = 1,594,981.98
  5. Step 5: Solve for x
    x = 1,594,981.98/1,936.23
  6. Step 6: Final answer
    x = 823.76

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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.