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Finding the Fourth Proportional to 3,178.32, 4,765.04 and 1,203.92

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Solution

The fourth proportional to 3,178.32, 4,765.04 and 1,203.92 is: 1,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.32 : 4,765.04 = 1,203.92 : x
  2. Step 2: Convert to fraction form
    3,178.32/4,765.04 = 1,203.92/x
  3. Step 3: Cross multiply
    3,178.32x = 4,765.04 × 1,203.92
  4. Step 4: Simplify right side
    3,178.32x = 5,736,726.96
  5. Step 5: Solve for x
    x = 5,736,726.96/3,178.32
  6. Step 6: Final answer
    x = 1,804.96

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