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Finding the Fourth Proportional to 3,154.09, 4,734.30 and 1,306.30

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Solution

The fourth proportional to 3,154.09, 4,734.30 and 1,306.30 is: 1,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.09 : 4,734.30 = 1,306.30 : x
  2. Step 2: Convert to fraction form
    3,154.09/4,734.30 = 1,306.30/x
  3. Step 3: Cross multiply
    3,154.09x = 4,734.30 × 1,306.30
  4. Step 4: Simplify right side
    3,154.09x = 6,184,416.09
  5. Step 5: Solve for x
    x = 6,184,416.09/3,154.09
  6. Step 6: Final answer
    x = 1,960.76

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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.