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Finding the Fourth Proportional to 3,178.39, 4,765.80 and 1,303.76

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Solution

The fourth proportional to 3,178.39, 4,765.80 and 1,303.76 is: 1,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.39 : 4,765.80 = 1,303.76 : x
  2. Step 2: Convert to fraction form
    3,178.39/4,765.80 = 1,303.76/x
  3. Step 3: Cross multiply
    3,178.39x = 4,765.80 × 1,303.76
  4. Step 4: Simplify right side
    3,178.39x = 6,213,465.21
  5. Step 5: Solve for x
    x = 6,213,465.21/3,178.39
  6. Step 6: Final answer
    x = 1,954.91

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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.