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Finding the Fourth Proportional to 2,606.20, 3,909.62 and 962.75

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Solution

The fourth proportional to 2,606.20, 3,909.62 and 962.75 is: 1,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.20 : 3,909.62 = 962.75 : x
  2. Step 2: Convert to fraction form
    2,606.20/3,909.62 = 962.75/x
  3. Step 3: Cross multiply
    2,606.20x = 3,909.62 × 962.75
  4. Step 4: Simplify right side
    2,606.20x = 3,763,986.66
  5. Step 5: Solve for x
    x = 3,763,986.66/2,606.20
  6. Step 6: Final answer
    x = 1,444.24

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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.