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Finding the Fourth Proportional to 2,338.06, 3,504.93 and 878.17

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Solution

The fourth proportional to 2,338.06, 3,504.93 and 878.17 is: 1,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.06 : 3,504.93 = 878.17 : x
  2. Step 2: Convert to fraction form
    2,338.06/3,504.93 = 878.17/x
  3. Step 3: Cross multiply
    2,338.06x = 3,504.93 × 878.17
  4. Step 4: Simplify right side
    2,338.06x = 3,077,924.38
  5. Step 5: Solve for x
    x = 3,077,924.38/2,338.06
  6. Step 6: Final answer
    x = 1,316.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.