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Finding the Fourth Proportional to 2,568.41, 3,547.77 and 2,072.90

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Solution

The fourth proportional to 2,568.41, 3,547.77 and 2,072.90 is: 2,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.41 : 3,547.77 = 2,072.90 : x
  2. Step 2: Convert to fraction form
    2,568.41/3,547.77 = 2,072.90/x
  3. Step 3: Cross multiply
    2,568.41x = 3,547.77 × 2,072.90
  4. Step 4: Simplify right side
    2,568.41x = 7,354,172.43
  5. Step 5: Solve for x
    x = 7,354,172.43/2,568.41
  6. Step 6: Final answer
    x = 2,863.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.