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Finding the Fourth Proportional to 1,892.91, 2,612.45 and 1,146.73

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Solution

The fourth proportional to 1,892.91, 2,612.45 and 1,146.73 is: 1,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.91 : 2,612.45 = 1,146.73 : x
  2. Step 2: Convert to fraction form
    1,892.91/2,612.45 = 1,146.73/x
  3. Step 3: Cross multiply
    1,892.91x = 2,612.45 × 1,146.73
  4. Step 4: Simplify right side
    1,892.91x = 2,995,774.79
  5. Step 5: Solve for x
    x = 2,995,774.79/1,892.91
  6. Step 6: Final answer
    x = 1,582.63

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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.