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Finding the Fourth Proportional to 2,127.17, 3,189.96 and 957.12

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Solution

The fourth proportional to 2,127.17, 3,189.96 and 957.12 is: 1,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.17 : 3,189.96 = 957.12 : x
  2. Step 2: Convert to fraction form
    2,127.17/3,189.96 = 957.12/x
  3. Step 3: Cross multiply
    2,127.17x = 3,189.96 × 957.12
  4. Step 4: Simplify right side
    2,127.17x = 3,053,186.78
  5. Step 5: Solve for x
    x = 3,053,186.78/2,127.17
  6. Step 6: Final answer
    x = 1,435.33

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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.