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Finding the Fourth Proportional to 1,936.47, 2,904.71 and 475.62

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Solution

The fourth proportional to 1,936.47, 2,904.71 and 475.62 is: 713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.47 : 2,904.71 = 475.62 : x
  2. Step 2: Convert to fraction form
    1,936.47/2,904.71 = 475.62/x
  3. Step 3: Cross multiply
    1,936.47x = 2,904.71 × 475.62
  4. Step 4: Simplify right side
    1,936.47x = 1,381,538.17
  5. Step 5: Solve for x
    x = 1,381,538.17/1,936.47
  6. Step 6: Final answer
    x = 713.43

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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.