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Finding the Fourth Proportional to 2,176.67, 3,002.80 and 1,291.97

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Solution

The fourth proportional to 2,176.67, 3,002.80 and 1,291.97 is: 1,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.67 : 3,002.80 = 1,291.97 : x
  2. Step 2: Convert to fraction form
    2,176.67/3,002.80 = 1,291.97/x
  3. Step 3: Cross multiply
    2,176.67x = 3,002.80 × 1,291.97
  4. Step 4: Simplify right side
    2,176.67x = 3,879,527.52
  5. Step 5: Solve for x
    x = 3,879,527.52/2,176.67
  6. Step 6: Final answer
    x = 1,782.32

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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.