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Finding the Fourth Proportional to 2,307.68, 3,458.56 and 2,009.97

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Solution

The fourth proportional to 2,307.68, 3,458.56 and 2,009.97 is: 3,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.68 : 3,458.56 = 2,009.97 : x
  2. Step 2: Convert to fraction form
    2,307.68/3,458.56 = 2,009.97/x
  3. Step 3: Cross multiply
    2,307.68x = 3,458.56 × 2,009.97
  4. Step 4: Simplify right side
    2,307.68x = 6,951,596.82
  5. Step 5: Solve for x
    x = 6,951,596.82/2,307.68
  6. Step 6: Final answer
    x = 3,012.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.