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Finding the Fourth Proportional to 2,189.09, 3,015.81 and 1,524.74

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Solution

The fourth proportional to 2,189.09, 3,015.81 and 1,524.74 is: 2,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.09 : 3,015.81 = 1,524.74 : x
  2. Step 2: Convert to fraction form
    2,189.09/3,015.81 = 1,524.74/x
  3. Step 3: Cross multiply
    2,189.09x = 3,015.81 × 1,524.74
  4. Step 4: Simplify right side
    2,189.09x = 4,598,326.14
  5. Step 5: Solve for x
    x = 4,598,326.14/2,189.09
  6. Step 6: Final answer
    x = 2,100.57

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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.