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Finding the Fourth Proportional to 2,097.49, 2,892.92 and 1,425.80

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Solution

The fourth proportional to 2,097.49, 2,892.92 and 1,425.80 is: 1,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.49 : 2,892.92 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    2,097.49/2,892.92 = 1,425.80/x
  3. Step 3: Cross multiply
    2,097.49x = 2,892.92 × 1,425.80
  4. Step 4: Simplify right side
    2,097.49x = 4,124,736.13
  5. Step 5: Solve for x
    x = 4,124,736.13/2,097.49
  6. Step 6: Final answer
    x = 1,966.51

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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.