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Finding the Fourth Proportional to 2,568.05, 3,854.26 and 1,009.14

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Solution

The fourth proportional to 2,568.05, 3,854.26 and 1,009.14 is: 1,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.05 : 3,854.26 = 1,009.14 : x
  2. Step 2: Convert to fraction form
    2,568.05/3,854.26 = 1,009.14/x
  3. Step 3: Cross multiply
    2,568.05x = 3,854.26 × 1,009.14
  4. Step 4: Simplify right side
    2,568.05x = 3,889,482.89
  5. Step 5: Solve for x
    x = 3,889,482.89/2,568.05
  6. Step 6: Final answer
    x = 1,514.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.