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Finding the Fourth Proportional to 2,767.42, 3,814.21 and 2,411.11

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Solution

The fourth proportional to 2,767.42, 3,814.21 and 2,411.11 is: 3,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.42 : 3,814.21 = 2,411.11 : x
  2. Step 2: Convert to fraction form
    2,767.42/3,814.21 = 2,411.11/x
  3. Step 3: Cross multiply
    2,767.42x = 3,814.21 × 2,411.11
  4. Step 4: Simplify right side
    2,767.42x = 9,196,479.87
  5. Step 5: Solve for x
    x = 9,196,479.87/2,767.42
  6. Step 6: Final answer
    x = 3,323.12

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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.