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Finding the Fourth Proportional to 2,588.40, 3,571.98 and 1,409.49

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Solution

The fourth proportional to 2,588.40, 3,571.98 and 1,409.49 is: 1,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.40 : 3,571.98 = 1,409.49 : x
  2. Step 2: Convert to fraction form
    2,588.40/3,571.98 = 1,409.49/x
  3. Step 3: Cross multiply
    2,588.40x = 3,571.98 × 1,409.49
  4. Step 4: Simplify right side
    2,588.40x = 5,034,670.09
  5. Step 5: Solve for x
    x = 5,034,670.09/2,588.40
  6. Step 6: Final answer
    x = 1,945.09

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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.