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Finding the Fourth Proportional to 2,892.94, 4,340.03 and 1,161.56

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Solution

The fourth proportional to 2,892.94, 4,340.03 and 1,161.56 is: 1,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.94 : 4,340.03 = 1,161.56 : x
  2. Step 2: Convert to fraction form
    2,892.94/4,340.03 = 1,161.56/x
  3. Step 3: Cross multiply
    2,892.94x = 4,340.03 × 1,161.56
  4. Step 4: Simplify right side
    2,892.94x = 5,041,210.29
  5. Step 5: Solve for x
    x = 5,041,210.29/2,892.94
  6. Step 6: Final answer
    x = 1,742.59

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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.