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Finding the Fourth Proportional to 2,568.09, 3,543.14 and 2,028.01

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Solution

The fourth proportional to 2,568.09, 3,543.14 and 2,028.01 is: 2,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.09 : 3,543.14 = 2,028.01 : x
  2. Step 2: Convert to fraction form
    2,568.09/3,543.14 = 2,028.01/x
  3. Step 3: Cross multiply
    2,568.09x = 3,543.14 × 2,028.01
  4. Step 4: Simplify right side
    2,568.09x = 7,185,513.21
  5. Step 5: Solve for x
    x = 7,185,513.21/2,568.09
  6. Step 6: Final answer
    x = 2,798.00

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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.