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Finding the Fourth Proportional to 1,892.06, 2,610.18 and 1,228.94

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Solution

The fourth proportional to 1,892.06, 2,610.18 and 1,228.94 is: 1,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.06 : 2,610.18 = 1,228.94 : x
  2. Step 2: Convert to fraction form
    1,892.06/2,610.18 = 1,228.94/x
  3. Step 3: Cross multiply
    1,892.06x = 2,610.18 × 1,228.94
  4. Step 4: Simplify right side
    1,892.06x = 3,207,754.61
  5. Step 5: Solve for x
    x = 3,207,754.61/1,892.06
  6. Step 6: Final answer
    x = 1,695.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.