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Finding the Fourth Proportional to 2,678.01, 4,016.62 and 1,567.94

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Solution

The fourth proportional to 2,678.01, 4,016.62 and 1,567.94 is: 2,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.01 : 4,016.62 = 1,567.94 : x
  2. Step 2: Convert to fraction form
    2,678.01/4,016.62 = 1,567.94/x
  3. Step 3: Cross multiply
    2,678.01x = 4,016.62 × 1,567.94
  4. Step 4: Simplify right side
    2,678.01x = 6,297,823.08
  5. Step 5: Solve for x
    x = 6,297,823.08/2,678.01
  6. Step 6: Final answer
    x = 2,351.68

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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.