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Finding the Fourth Proportional to 2,659.07, 3,670.34 and 1,819.46

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Solution

The fourth proportional to 2,659.07, 3,670.34 and 1,819.46 is: 2,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.07 : 3,670.34 = 1,819.46 : x
  2. Step 2: Convert to fraction form
    2,659.07/3,670.34 = 1,819.46/x
  3. Step 3: Cross multiply
    2,659.07x = 3,670.34 × 1,819.46
  4. Step 4: Simplify right side
    2,659.07x = 6,678,036.82
  5. Step 5: Solve for x
    x = 6,678,036.82/2,659.07
  6. Step 6: Final answer
    x = 2,511.42

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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.