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Finding the Fourth Proportional to 2,109.09, 2,910.40 and 1,164.90

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Solution

The fourth proportional to 2,109.09, 2,910.40 and 1,164.90 is: 1,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.09 : 2,910.40 = 1,164.90 : x
  2. Step 2: Convert to fraction form
    2,109.09/2,910.40 = 1,164.90/x
  3. Step 3: Cross multiply
    2,109.09x = 2,910.40 × 1,164.90
  4. Step 4: Simplify right side
    2,109.09x = 3,390,324.96
  5. Step 5: Solve for x
    x = 3,390,324.96/2,109.09
  6. Step 6: Final answer
    x = 1,607.48

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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.