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Finding the Fourth Proportional to 2,108.54, 2,909.66 and 1,164.31

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Solution

The fourth proportional to 2,108.54, 2,909.66 and 1,164.31 is: 1,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.54 : 2,909.66 = 1,164.31 : x
  2. Step 2: Convert to fraction form
    2,108.54/2,909.66 = 1,164.31/x
  3. Step 3: Cross multiply
    2,108.54x = 2,909.66 × 1,164.31
  4. Step 4: Simplify right side
    2,108.54x = 3,387,733.14
  5. Step 5: Solve for x
    x = 3,387,733.14/2,108.54
  6. Step 6: Final answer
    x = 1,606.67

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