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Finding the Fourth Proportional to 1,815.49, 2,507.42 and 1,225

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Solution

The fourth proportional to 1,815.49, 2,507.42 and 1,225 is: 1,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.49 : 2,507.42 = 1,225 : x
  2. Step 2: Convert to fraction form
    1,815.49/2,507.42 = 1,225/x
  3. Step 3: Cross multiply
    1,815.49x = 2,507.42 × 1,225
  4. Step 4: Simplify right side
    1,815.49x = 3,071,589.50
  5. Step 5: Solve for x
    x = 3,071,589.50/1,815.49
  6. Step 6: Final answer
    x = 1,691.88

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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.