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Finding the Fourth Proportional to 2,588.39, 3,571.86 and 1,409.46

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Solution

The fourth proportional to 2,588.39, 3,571.86 and 1,409.46 is: 1,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.39 : 3,571.86 = 1,409.46 : x
  2. Step 2: Convert to fraction form
    2,588.39/3,571.86 = 1,409.46/x
  3. Step 3: Cross multiply
    2,588.39x = 3,571.86 × 1,409.46
  4. Step 4: Simplify right side
    2,588.39x = 5,034,393.80
  5. Step 5: Solve for x
    x = 5,034,393.80/2,588.39
  6. Step 6: Final answer
    x = 1,944.99

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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.