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Finding the Fourth Proportional to 4,554, 6,830.88 and 1,266.96

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Solution

The fourth proportional to 4,554, 6,830.88 and 1,266.96 is: 1,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554 : 6,830.88 = 1,266.96 : x
  2. Step 2: Convert to fraction form
    4,554/6,830.88 = 1,266.96/x
  3. Step 3: Cross multiply
    4,554x = 6,830.88 × 1,266.96
  4. Step 4: Simplify right side
    4,554x = 8,654,451.72
  5. Step 5: Solve for x
    x = 8,654,451.72/4,554
  6. Step 6: Final answer
    x = 1,900.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.