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Finding the Fourth Proportional to 1,936.19, 2,904.70 and 549.95

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Solution

The fourth proportional to 1,936.19, 2,904.70 and 549.95 is: 825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.19 : 2,904.70 = 549.95 : x
  2. Step 2: Convert to fraction form
    1,936.19/2,904.70 = 549.95/x
  3. Step 3: Cross multiply
    1,936.19x = 2,904.70 × 549.95
  4. Step 4: Simplify right side
    1,936.19x = 1,597,439.77
  5. Step 5: Solve for x
    x = 1,597,439.77/1,936.19
  6. Step 6: Final answer
    x = 825.04

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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.