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Finding the Fourth Proportional to 2,568.51, 3,542.94 and 2,071.17

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Solution

The fourth proportional to 2,568.51, 3,542.94 and 2,071.17 is: 2,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.51 : 3,542.94 = 2,071.17 : x
  2. Step 2: Convert to fraction form
    2,568.51/3,542.94 = 2,071.17/x
  3. Step 3: Cross multiply
    2,568.51x = 3,542.94 × 2,071.17
  4. Step 4: Simplify right side
    2,568.51x = 7,338,031.04
  5. Step 5: Solve for x
    x = 7,338,031.04/2,568.51
  6. Step 6: Final answer
    x = 2,856.92

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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.