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Finding the Fourth Proportional to 2,911.86, 3,998.84 and 2,492.24

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Solution

The fourth proportional to 2,911.86, 3,998.84 and 2,492.24 is: 3,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.86 : 3,998.84 = 2,492.24 : x
  2. Step 2: Convert to fraction form
    2,911.86/3,998.84 = 2,492.24/x
  3. Step 3: Cross multiply
    2,911.86x = 3,998.84 × 2,492.24
  4. Step 4: Simplify right side
    2,911.86x = 9,966,036.55
  5. Step 5: Solve for x
    x = 9,966,036.55/2,911.86
  6. Step 6: Final answer
    x = 3,422.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.