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Finding the Fourth Proportional to 2,507.56, 3,451.78 and 2,171.32

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Solution

The fourth proportional to 2,507.56, 3,451.78 and 2,171.32 is: 2,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.56 : 3,451.78 = 2,171.32 : x
  2. Step 2: Convert to fraction form
    2,507.56/3,451.78 = 2,171.32/x
  3. Step 3: Cross multiply
    2,507.56x = 3,451.78 × 2,171.32
  4. Step 4: Simplify right side
    2,507.56x = 7,494,918.95
  5. Step 5: Solve for x
    x = 7,494,918.95/2,507.56
  6. Step 6: Final answer
    x = 2,988.93

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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.