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Finding the Fourth Proportional to 2,155.96, 2,975.16 and 1,271.62

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Solution

The fourth proportional to 2,155.96, 2,975.16 and 1,271.62 is: 1,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.96 : 2,975.16 = 1,271.62 : x
  2. Step 2: Convert to fraction form
    2,155.96/2,975.16 = 1,271.62/x
  3. Step 3: Cross multiply
    2,155.96x = 2,975.16 × 1,271.62
  4. Step 4: Simplify right side
    2,155.96x = 3,783,272.96
  5. Step 5: Solve for x
    x = 3,783,272.96/2,155.96
  6. Step 6: Final answer
    x = 1,754.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.