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Finding the Fourth Proportional to 2,568.25, 3,539.01 and 1,857.81

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Solution

The fourth proportional to 2,568.25, 3,539.01 and 1,857.81 is: 2,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.25 : 3,539.01 = 1,857.81 : x
  2. Step 2: Convert to fraction form
    2,568.25/3,539.01 = 1,857.81/x
  3. Step 3: Cross multiply
    2,568.25x = 3,539.01 × 1,857.81
  4. Step 4: Simplify right side
    2,568.25x = 6,574,808.17
  5. Step 5: Solve for x
    x = 6,574,808.17/2,568.25
  6. Step 6: Final answer
    x = 2,560.04

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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.