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Finding the Fourth Proportional to 1,617.37, 2,231.78 and 909.07

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Solution

The fourth proportional to 1,617.37, 2,231.78 and 909.07 is: 1,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.37 : 2,231.78 = 909.07 : x
  2. Step 2: Convert to fraction form
    1,617.37/2,231.78 = 909.07/x
  3. Step 3: Cross multiply
    1,617.37x = 2,231.78 × 909.07
  4. Step 4: Simplify right side
    1,617.37x = 2,028,834.12
  5. Step 5: Solve for x
    x = 2,028,834.12/1,617.37
  6. Step 6: Final answer
    x = 1,254.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.