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Finding the Fourth Proportional to 3,260, 4,498.67 and 1,767.88

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Solution

The fourth proportional to 3,260, 4,498.67 and 1,767.88 is: 2,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260 : 4,498.67 = 1,767.88 : x
  2. Step 2: Convert to fraction form
    3,260/4,498.67 = 1,767.88/x
  3. Step 3: Cross multiply
    3,260x = 4,498.67 × 1,767.88
  4. Step 4: Simplify right side
    3,260x = 7,953,108.72
  5. Step 5: Solve for x
    x = 7,953,108.72/3,260
  6. Step 6: Final answer
    x = 2,439.60

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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.