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Finding the Fourth Proportional to 3,178.94, 4,768.40 and 870.44

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Solution

The fourth proportional to 3,178.94, 4,768.40 and 870.44 is: 1,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.94 : 4,768.40 = 870.44 : x
  2. Step 2: Convert to fraction form
    3,178.94/4,768.40 = 870.44/x
  3. Step 3: Cross multiply
    3,178.94x = 4,768.40 × 870.44
  4. Step 4: Simplify right side
    3,178.94x = 4,150,577.90
  5. Step 5: Solve for x
    x = 4,150,577.90/3,178.94
  6. Step 6: Final answer
    x = 1,305.65

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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.