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Finding the Fourth Proportional to 2,605.48, 3,909.74 and 963.18

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Solution

The fourth proportional to 2,605.48, 3,909.74 and 963.18 is: 1,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.48 : 3,909.74 = 963.18 : x
  2. Step 2: Convert to fraction form
    2,605.48/3,909.74 = 963.18/x
  3. Step 3: Cross multiply
    2,605.48x = 3,909.74 × 963.18
  4. Step 4: Simplify right side
    2,605.48x = 3,765,783.37
  5. Step 5: Solve for x
    x = 3,765,783.37/2,605.48
  6. Step 6: Final answer
    x = 1,445.33

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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.