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Finding the Fourth Proportional to 2,682.84, 4,022.10 and 1,587

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Solution

The fourth proportional to 2,682.84, 4,022.10 and 1,587 is: 2,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.84 : 4,022.10 = 1,587 : x
  2. Step 2: Convert to fraction form
    2,682.84/4,022.10 = 1,587/x
  3. Step 3: Cross multiply
    2,682.84x = 4,022.10 × 1,587
  4. Step 4: Simplify right side
    2,682.84x = 6,383,072.70
  5. Step 5: Solve for x
    x = 6,383,072.70/2,682.84
  6. Step 6: Final answer
    x = 2,379.22

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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.