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Finding the Fourth Proportional to 2,588.09, 3,571.61 and 1,409.16

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Solution

The fourth proportional to 2,588.09, 3,571.61 and 1,409.16 is: 1,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.09 : 3,571.61 = 1,409.16 : x
  2. Step 2: Convert to fraction form
    2,588.09/3,571.61 = 1,409.16/x
  3. Step 3: Cross multiply
    2,588.09x = 3,571.61 × 1,409.16
  4. Step 4: Simplify right side
    2,588.09x = 5,032,962.90
  5. Step 5: Solve for x
    x = 5,032,962.90/2,588.09
  6. Step 6: Final answer
    x = 1,944.67

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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.