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Finding the Fourth Proportional to 2,622.12, 3,618.12 and 1,559.90

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Solution

The fourth proportional to 2,622.12, 3,618.12 and 1,559.90 is: 2,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.12 : 3,618.12 = 1,559.90 : x
  2. Step 2: Convert to fraction form
    2,622.12/3,618.12 = 1,559.90/x
  3. Step 3: Cross multiply
    2,622.12x = 3,618.12 × 1,559.90
  4. Step 4: Simplify right side
    2,622.12x = 5,643,905.39
  5. Step 5: Solve for x
    x = 5,643,905.39/2,622.12
  6. Step 6: Final answer
    x = 2,152.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.