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Finding the Fourth Proportional to 4,106.75, 6,154.99 and 1,764

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Solution

The fourth proportional to 4,106.75, 6,154.99 and 1,764 is: 2,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.75 : 6,154.99 = 1,764 : x
  2. Step 2: Convert to fraction form
    4,106.75/6,154.99 = 1,764/x
  3. Step 3: Cross multiply
    4,106.75x = 6,154.99 × 1,764
  4. Step 4: Simplify right side
    4,106.75x = 10,857,397.95
  5. Step 5: Solve for x
    x = 10,857,397.95/4,106.75
  6. Step 6: Final answer
    x = 2,643.80

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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.