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Finding the Fourth Proportional to 1,975.32, 2,960.19 and 1,155.20

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Solution

The fourth proportional to 1,975.32, 2,960.19 and 1,155.20 is: 1,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.32 : 2,960.19 = 1,155.20 : x
  2. Step 2: Convert to fraction form
    1,975.32/2,960.19 = 1,155.20/x
  3. Step 3: Cross multiply
    1,975.32x = 2,960.19 × 1,155.20
  4. Step 4: Simplify right side
    1,975.32x = 3,419,596.69
  5. Step 5: Solve for x
    x = 3,419,596.69/1,975.32
  6. Step 6: Final answer
    x = 1,731.16

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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.