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Finding the Fourth Proportional to 2,605.37, 3,909.57 and 963.06

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Solution

The fourth proportional to 2,605.37, 3,909.57 and 963.06 is: 1,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.37 : 3,909.57 = 963.06 : x
  2. Step 2: Convert to fraction form
    2,605.37/3,909.57 = 963.06/x
  3. Step 3: Cross multiply
    2,605.37x = 3,909.57 × 963.06
  4. Step 4: Simplify right side
    2,605.37x = 3,765,132.21
  5. Step 5: Solve for x
    x = 3,765,132.21/2,605.37
  6. Step 6: Final answer
    x = 1,445.15

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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.