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Finding the Fourth Proportional to 2,909.75, 4,015.67 and 2,200.32

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Solution

The fourth proportional to 2,909.75, 4,015.67 and 2,200.32 is: 3,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.75 : 4,015.67 = 2,200.32 : x
  2. Step 2: Convert to fraction form
    2,909.75/4,015.67 = 2,200.32/x
  3. Step 3: Cross multiply
    2,909.75x = 4,015.67 × 2,200.32
  4. Step 4: Simplify right side
    2,909.75x = 8,835,748.01
  5. Step 5: Solve for x
    x = 8,835,748.01/2,909.75
  6. Step 6: Final answer
    x = 3,036.61

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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.