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Finding the Fourth Proportional to 2,109.05, 2,910.47 and 1,164.90

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Solution

The fourth proportional to 2,109.05, 2,910.47 and 1,164.90 is: 1,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.05 : 2,910.47 = 1,164.90 : x
  2. Step 2: Convert to fraction form
    2,109.05/2,910.47 = 1,164.90/x
  3. Step 3: Cross multiply
    2,109.05x = 2,910.47 × 1,164.90
  4. Step 4: Simplify right side
    2,109.05x = 3,390,413.24
  5. Step 5: Solve for x
    x = 3,390,413.24/2,109.05
  6. Step 6: Final answer
    x = 1,607.56

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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.