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Finding the Fourth Proportional to 3,179, 4,768.78 and 870.50

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Solution

The fourth proportional to 3,179, 4,768.78 and 870.50 is: 1,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179 : 4,768.78 = 870.50 : x
  2. Step 2: Convert to fraction form
    3,179/4,768.78 = 870.50/x
  3. Step 3: Cross multiply
    3,179x = 4,768.78 × 870.50
  4. Step 4: Simplify right side
    3,179x = 4,151,222.99
  5. Step 5: Solve for x
    x = 4,151,222.99/3,179
  6. Step 6: Final answer
    x = 1,305.83

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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.