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Finding the Fourth Proportional to 1,872.44, 2,584.36 and 1,243

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Solution

The fourth proportional to 1,872.44, 2,584.36 and 1,243 is: 1,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.44 : 2,584.36 = 1,243 : x
  2. Step 2: Convert to fraction form
    1,872.44/2,584.36 = 1,243/x
  3. Step 3: Cross multiply
    1,872.44x = 2,584.36 × 1,243
  4. Step 4: Simplify right side
    1,872.44x = 3,212,359.48
  5. Step 5: Solve for x
    x = 3,212,359.48/1,872.44
  6. Step 6: Final answer
    x = 1,715.60

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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.