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Finding the Fourth Proportional to 3,154.48, 4,734.88 and 1,306.68

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Solution

The fourth proportional to 3,154.48, 4,734.88 and 1,306.68 is: 1,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.48 : 4,734.88 = 1,306.68 : x
  2. Step 2: Convert to fraction form
    3,154.48/4,734.88 = 1,306.68/x
  3. Step 3: Cross multiply
    3,154.48x = 4,734.88 × 1,306.68
  4. Step 4: Simplify right side
    3,154.48x = 6,186,973.00
  5. Step 5: Solve for x
    x = 6,186,973.00/3,154.48
  6. Step 6: Final answer
    x = 1,961.33

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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.