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Finding the Fourth Proportional to 2,681.88, 4,022.82 and 1,379.40

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Solution

The fourth proportional to 2,681.88, 4,022.82 and 1,379.40 is: 2,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.88 : 4,022.82 = 1,379.40 : x
  2. Step 2: Convert to fraction form
    2,681.88/4,022.82 = 1,379.40/x
  3. Step 3: Cross multiply
    2,681.88x = 4,022.82 × 1,379.40
  4. Step 4: Simplify right side
    2,681.88x = 5,549,077.91
  5. Step 5: Solve for x
    x = 5,549,077.91/2,681.88
  6. Step 6: Final answer
    x = 2,069.10

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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.