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Finding the Fourth Proportional to 2,588.40, 3,571.97 and 1,409.45

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Solution

The fourth proportional to 2,588.40, 3,571.97 and 1,409.45 is: 1,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.40 : 3,571.97 = 1,409.45 : x
  2. Step 2: Convert to fraction form
    2,588.40/3,571.97 = 1,409.45/x
  3. Step 3: Cross multiply
    2,588.40x = 3,571.97 × 1,409.45
  4. Step 4: Simplify right side
    2,588.40x = 5,034,488.21
  5. Step 5: Solve for x
    x = 5,034,488.21/2,588.40
  6. Step 6: Final answer
    x = 1,945.02

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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.