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Finding the Fourth Proportional to 1,966.14, 2,713.17 and 1,809.42

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Solution

The fourth proportional to 1,966.14, 2,713.17 and 1,809.42 is: 2,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.14 : 2,713.17 = 1,809.42 : x
  2. Step 2: Convert to fraction form
    1,966.14/2,713.17 = 1,809.42/x
  3. Step 3: Cross multiply
    1,966.14x = 2,713.17 × 1,809.42
  4. Step 4: Simplify right side
    1,966.14x = 4,909,264.06
  5. Step 5: Solve for x
    x = 4,909,264.06/1,966.14
  6. Step 6: Final answer
    x = 2,496.90

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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.