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Finding the Fourth Proportional to 2,584.40, 3,877.24 and 1,816.40

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Solution

The fourth proportional to 2,584.40, 3,877.24 and 1,816.40 is: 2,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.40 : 3,877.24 = 1,816.40 : x
  2. Step 2: Convert to fraction form
    2,584.40/3,877.24 = 1,816.40/x
  3. Step 3: Cross multiply
    2,584.40x = 3,877.24 × 1,816.40
  4. Step 4: Simplify right side
    2,584.40x = 7,042,618.74
  5. Step 5: Solve for x
    x = 7,042,618.74/2,584.40
  6. Step 6: Final answer
    x = 2,725.05

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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.