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Finding the Fourth Proportional to 2,584, 3,877.44 and 1,216

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Solution

The fourth proportional to 2,584, 3,877.44 and 1,216 is: 1,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,877.44 = 1,216 : x
  2. Step 2: Convert to fraction form
    2,584/3,877.44 = 1,216/x
  3. Step 3: Cross multiply
    2,584x = 3,877.44 × 1,216
  4. Step 4: Simplify right side
    2,584x = 4,714,967.04
  5. Step 5: Solve for x
    x = 4,714,967.04/2,584
  6. Step 6: Final answer
    x = 1,824.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.