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Finding the Fourth Proportional to 2,668, 3,681.69 and 1,489.07

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Solution

The fourth proportional to 2,668, 3,681.69 and 1,489.07 is: 2,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668 : 3,681.69 = 1,489.07 : x
  2. Step 2: Convert to fraction form
    2,668/3,681.69 = 1,489.07/x
  3. Step 3: Cross multiply
    2,668x = 3,681.69 × 1,489.07
  4. Step 4: Simplify right side
    2,668x = 5,482,294.13
  5. Step 5: Solve for x
    x = 5,482,294.13/2,668
  6. Step 6: Final answer
    x = 2,054.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.