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Finding the Fourth Proportional to 3,160.14, 4,736.43 and 1,308.89

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Solution

The fourth proportional to 3,160.14, 4,736.43 and 1,308.89 is: 1,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.14 : 4,736.43 = 1,308.89 : x
  2. Step 2: Convert to fraction form
    3,160.14/4,736.43 = 1,308.89/x
  3. Step 3: Cross multiply
    3,160.14x = 4,736.43 × 1,308.89
  4. Step 4: Simplify right side
    3,160.14x = 6,199,465.86
  5. Step 5: Solve for x
    x = 6,199,465.86/3,160.14
  6. Step 6: Final answer
    x = 1,961.77

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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.