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Finding the Fourth Proportional to 1,338.94, 2,006.17 and 948.09

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Solution

The fourth proportional to 1,338.94, 2,006.17 and 948.09 is: 1,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.94 : 2,006.17 = 948.09 : x
  2. Step 2: Convert to fraction form
    1,338.94/2,006.17 = 948.09/x
  3. Step 3: Cross multiply
    1,338.94x = 2,006.17 × 948.09
  4. Step 4: Simplify right side
    1,338.94x = 1,902,029.72
  5. Step 5: Solve for x
    x = 1,902,029.72/1,338.94
  6. Step 6: Final answer
    x = 1,420.55

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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.