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Finding the Fourth Proportional to 2,605.17, 3,909.95 and 2,440.96

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Solution

The fourth proportional to 2,605.17, 3,909.95 and 2,440.96 is: 3,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.17 : 3,909.95 = 2,440.96 : x
  2. Step 2: Convert to fraction form
    2,605.17/3,909.95 = 2,440.96/x
  3. Step 3: Cross multiply
    2,605.17x = 3,909.95 × 2,440.96
  4. Step 4: Simplify right side
    2,605.17x = 9,544,033.85
  5. Step 5: Solve for x
    x = 9,544,033.85/2,605.17
  6. Step 6: Final answer
    x = 3,663.49

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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.