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Finding the Fourth Proportional to 1,830.09, 2,524.07 and 1,608.57

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Solution

The fourth proportional to 1,830.09, 2,524.07 and 1,608.57 is: 2,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.09 : 2,524.07 = 1,608.57 : x
  2. Step 2: Convert to fraction form
    1,830.09/2,524.07 = 1,608.57/x
  3. Step 3: Cross multiply
    1,830.09x = 2,524.07 × 1,608.57
  4. Step 4: Simplify right side
    1,830.09x = 4,060,135.24
  5. Step 5: Solve for x
    x = 4,060,135.24/1,830.09
  6. Step 6: Final answer
    x = 2,218.54

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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.