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Finding the Fourth Proportional to 2,892.99, 4,341.38 and 1,161.75

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Solution

The fourth proportional to 2,892.99, 4,341.38 and 1,161.75 is: 1,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.99 : 4,341.38 = 1,161.75 : x
  2. Step 2: Convert to fraction form
    2,892.99/4,341.38 = 1,161.75/x
  3. Step 3: Cross multiply
    2,892.99x = 4,341.38 × 1,161.75
  4. Step 4: Simplify right side
    2,892.99x = 5,043,598.22
  5. Step 5: Solve for x
    x = 5,043,598.22/2,892.99
  6. Step 6: Final answer
    x = 1,743.39

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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.