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Finding the Fourth Proportional to 2,084.01, 3,124.80 and 1,216.50

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Solution

The fourth proportional to 2,084.01, 3,124.80 and 1,216.50 is: 1,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.01 : 3,124.80 = 1,216.50 : x
  2. Step 2: Convert to fraction form
    2,084.01/3,124.80 = 1,216.50/x
  3. Step 3: Cross multiply
    2,084.01x = 3,124.80 × 1,216.50
  4. Step 4: Simplify right side
    2,084.01x = 3,801,319.20
  5. Step 5: Solve for x
    x = 3,801,319.20/2,084.01
  6. Step 6: Final answer
    x = 1,824.04

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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.