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Finding the Fourth Proportional to 2,115.45, 3,173.15 and 654.71

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Solution

The fourth proportional to 2,115.45, 3,173.15 and 654.71 is: 982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.45 : 3,173.15 = 654.71 : x
  2. Step 2: Convert to fraction form
    2,115.45/3,173.15 = 654.71/x
  3. Step 3: Cross multiply
    2,115.45x = 3,173.15 × 654.71
  4. Step 4: Simplify right side
    2,115.45x = 2,077,478.81
  5. Step 5: Solve for x
    x = 2,077,478.81/2,115.45
  6. Step 6: Final answer
    x = 982.05

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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.