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Finding the Fourth Proportional to 1,362.45, 1,876.05 and 1,175.61

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Solution

The fourth proportional to 1,362.45, 1,876.05 and 1,175.61 is: 1,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.45 : 1,876.05 = 1,175.61 : x
  2. Step 2: Convert to fraction form
    1,362.45/1,876.05 = 1,175.61/x
  3. Step 3: Cross multiply
    1,362.45x = 1,876.05 × 1,175.61
  4. Step 4: Simplify right side
    1,362.45x = 2,205,503.14
  5. Step 5: Solve for x
    x = 2,205,503.14/1,362.45
  6. Step 6: Final answer
    x = 1,618.78

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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.