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Finding the Fourth Proportional to 2,678.74, 4,022.73 and 1,589.93

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Solution

The fourth proportional to 2,678.74, 4,022.73 and 1,589.93 is: 2,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.74 : 4,022.73 = 1,589.93 : x
  2. Step 2: Convert to fraction form
    2,678.74/4,022.73 = 1,589.93/x
  3. Step 3: Cross multiply
    2,678.74x = 4,022.73 × 1,589.93
  4. Step 4: Simplify right side
    2,678.74x = 6,395,854.08
  5. Step 5: Solve for x
    x = 6,395,854.08/2,678.74
  6. Step 6: Final answer
    x = 2,387.64

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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.