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Finding the Fourth Proportional to 1,338.45, 1,846.75 and 961.53

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Solution

The fourth proportional to 1,338.45, 1,846.75 and 961.53 is: 1,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.45 : 1,846.75 = 961.53 : x
  2. Step 2: Convert to fraction form
    1,338.45/1,846.75 = 961.53/x
  3. Step 3: Cross multiply
    1,338.45x = 1,846.75 × 961.53
  4. Step 4: Simplify right side
    1,338.45x = 1,775,705.53
  5. Step 5: Solve for x
    x = 1,775,705.53/1,338.45
  6. Step 6: Final answer
    x = 1,326.69

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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.