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Finding the Fourth Proportional to 1,892.83, 2,612.15 and 1,042.09

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Solution

The fourth proportional to 1,892.83, 2,612.15 and 1,042.09 is: 1,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.83 : 2,612.15 = 1,042.09 : x
  2. Step 2: Convert to fraction form
    1,892.83/2,612.15 = 1,042.09/x
  3. Step 3: Cross multiply
    1,892.83x = 2,612.15 × 1,042.09
  4. Step 4: Simplify right side
    1,892.83x = 2,722,095.39
  5. Step 5: Solve for x
    x = 2,722,095.39/1,892.83
  6. Step 6: Final answer
    x = 1,438.11

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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.