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Finding the Fourth Proportional to 1,936.10, 2,904.35 and 637.57

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Solution

The fourth proportional to 1,936.10, 2,904.35 and 637.57 is: 956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.10 : 2,904.35 = 637.57 : x
  2. Step 2: Convert to fraction form
    1,936.10/2,904.35 = 637.57/x
  3. Step 3: Cross multiply
    1,936.10x = 2,904.35 × 637.57
  4. Step 4: Simplify right side
    1,936.10x = 1,851,726.43
  5. Step 5: Solve for x
    x = 1,851,726.43/1,936.10
  6. Step 6: Final answer
    x = 956.42

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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.