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Finding the Fourth Proportional to 3,155.68, 4,735.64 and 1,306.77

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Solution

The fourth proportional to 3,155.68, 4,735.64 and 1,306.77 is: 1,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.68 : 4,735.64 = 1,306.77 : x
  2. Step 2: Convert to fraction form
    3,155.68/4,735.64 = 1,306.77/x
  3. Step 3: Cross multiply
    3,155.68x = 4,735.64 × 1,306.77
  4. Step 4: Simplify right side
    3,155.68x = 6,188,392.28
  5. Step 5: Solve for x
    x = 6,188,392.28/3,155.68
  6. Step 6: Final answer
    x = 1,961.03

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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.