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Finding the Fourth Proportional to 2,675.84, 4,011.71 and 1,635.65

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Solution

The fourth proportional to 2,675.84, 4,011.71 and 1,635.65 is: 2,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.84 : 4,011.71 = 1,635.65 : x
  2. Step 2: Convert to fraction form
    2,675.84/4,011.71 = 1,635.65/x
  3. Step 3: Cross multiply
    2,675.84x = 4,011.71 × 1,635.65
  4. Step 4: Simplify right side
    2,675.84x = 6,561,753.46
  5. Step 5: Solve for x
    x = 6,561,753.46/2,675.84
  6. Step 6: Final answer
    x = 2,452.22

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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.