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Finding the Fourth Proportional to 2,095.68, 2,892.09 and 1,151.46

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Solution

The fourth proportional to 2,095.68, 2,892.09 and 1,151.46 is: 1,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.68 : 2,892.09 = 1,151.46 : x
  2. Step 2: Convert to fraction form
    2,095.68/2,892.09 = 1,151.46/x
  3. Step 3: Cross multiply
    2,095.68x = 2,892.09 × 1,151.46
  4. Step 4: Simplify right side
    2,095.68x = 3,330,125.95
  5. Step 5: Solve for x
    x = 3,330,125.95/2,095.68
  6. Step 6: Final answer
    x = 1,589.04

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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.