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Finding the Fourth Proportional to 2,678.34, 4,016.73 and 1,034.51

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Solution

The fourth proportional to 2,678.34, 4,016.73 and 1,034.51 is: 1,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.34 : 4,016.73 = 1,034.51 : x
  2. Step 2: Convert to fraction form
    2,678.34/4,016.73 = 1,034.51/x
  3. Step 3: Cross multiply
    2,678.34x = 4,016.73 × 1,034.51
  4. Step 4: Simplify right side
    2,678.34x = 4,155,338.45
  5. Step 5: Solve for x
    x = 4,155,338.45/2,678.34
  6. Step 6: Final answer
    x = 1,551.46

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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.