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Finding the Fourth Proportional to 2,588.42, 3,571.90 and 1,409.49

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Solution

The fourth proportional to 2,588.42, 3,571.90 and 1,409.49 is: 1,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.42 : 3,571.90 = 1,409.49 : x
  2. Step 2: Convert to fraction form
    2,588.42/3,571.90 = 1,409.49/x
  3. Step 3: Cross multiply
    2,588.42x = 3,571.90 × 1,409.49
  4. Step 4: Simplify right side
    2,588.42x = 5,034,557.33
  5. Step 5: Solve for x
    x = 5,034,557.33/2,588.42
  6. Step 6: Final answer
    x = 1,945.03

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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.