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Finding the Fourth Proportional to 3,160.82, 4,742.15 and 969.87

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Solution

The fourth proportional to 3,160.82, 4,742.15 and 969.87 is: 1,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.82 : 4,742.15 = 969.87 : x
  2. Step 2: Convert to fraction form
    3,160.82/4,742.15 = 969.87/x
  3. Step 3: Cross multiply
    3,160.82x = 4,742.15 × 969.87
  4. Step 4: Simplify right side
    3,160.82x = 4,599,269.02
  5. Step 5: Solve for x
    x = 4,599,269.02/3,160.82
  6. Step 6: Final answer
    x = 1,455.09

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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.