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Finding the Fourth Proportional to 2,109.25, 2,910.93 and 1,165.13

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Solution

The fourth proportional to 2,109.25, 2,910.93 and 1,165.13 is: 1,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.25 : 2,910.93 = 1,165.13 : x
  2. Step 2: Convert to fraction form
    2,109.25/2,910.93 = 1,165.13/x
  3. Step 3: Cross multiply
    2,109.25x = 2,910.93 × 1,165.13
  4. Step 4: Simplify right side
    2,109.25x = 3,391,597.32
  5. Step 5: Solve for x
    x = 3,391,597.32/2,109.25
  6. Step 6: Final answer
    x = 1,607.97

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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.