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Finding the Fourth Proportional to 3,187, 4,780.50 and 878.50

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Solution

The fourth proportional to 3,187, 4,780.50 and 878.50 is: 1,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187 : 4,780.50 = 878.50 : x
  2. Step 2: Convert to fraction form
    3,187/4,780.50 = 878.50/x
  3. Step 3: Cross multiply
    3,187x = 4,780.50 × 878.50
  4. Step 4: Simplify right side
    3,187x = 4,199,669.25
  5. Step 5: Solve for x
    x = 4,199,669.25/3,187
  6. Step 6: Final answer
    x = 1,317.75

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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.