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Finding the Fourth Proportional to 2,451.42, 3,678.31 and 1,526.73

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Solution

The fourth proportional to 2,451.42, 3,678.31 and 1,526.73 is: 2,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.42 : 3,678.31 = 1,526.73 : x
  2. Step 2: Convert to fraction form
    2,451.42/3,678.31 = 1,526.73/x
  3. Step 3: Cross multiply
    2,451.42x = 3,678.31 × 1,526.73
  4. Step 4: Simplify right side
    2,451.42x = 5,615,786.23
  5. Step 5: Solve for x
    x = 5,615,786.23/2,451.42
  6. Step 6: Final answer
    x = 2,290.83

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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.