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Finding the Fourth Proportional to 1,417.41, 1,956.02 and 796.41

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Solution

The fourth proportional to 1,417.41, 1,956.02 and 796.41 is: 1,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.41 : 1,956.02 = 796.41 : x
  2. Step 2: Convert to fraction form
    1,417.41/1,956.02 = 796.41/x
  3. Step 3: Cross multiply
    1,417.41x = 1,956.02 × 796.41
  4. Step 4: Simplify right side
    1,417.41x = 1,557,789.91
  5. Step 5: Solve for x
    x = 1,557,789.91/1,417.41
  6. Step 6: Final answer
    x = 1,099.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.