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Finding the Fourth Proportional to 2,568.80, 3,544.08 and 1,637.84

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Solution

The fourth proportional to 2,568.80, 3,544.08 and 1,637.84 is: 2,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.80 : 3,544.08 = 1,637.84 : x
  2. Step 2: Convert to fraction form
    2,568.80/3,544.08 = 1,637.84/x
  3. Step 3: Cross multiply
    2,568.80x = 3,544.08 × 1,637.84
  4. Step 4: Simplify right side
    2,568.80x = 5,804,635.99
  5. Step 5: Solve for x
    x = 5,804,635.99/2,568.80
  6. Step 6: Final answer
    x = 2,259.67

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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.