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Finding the Fourth Proportional to 3,069.36, 4,603.97 and 878.11

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Solution

The fourth proportional to 3,069.36, 4,603.97 and 878.11 is: 1,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.36 : 4,603.97 = 878.11 : x
  2. Step 2: Convert to fraction form
    3,069.36/4,603.97 = 878.11/x
  3. Step 3: Cross multiply
    3,069.36x = 4,603.97 × 878.11
  4. Step 4: Simplify right side
    3,069.36x = 4,042,782.78
  5. Step 5: Solve for x
    x = 4,042,782.78/3,069.36
  6. Step 6: Final answer
    x = 1,317.14

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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.