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Finding the Fourth Proportional to 2,682.50, 3,701.87 and 1,564.21

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Solution

The fourth proportional to 2,682.50, 3,701.87 and 1,564.21 is: 2,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.50 : 3,701.87 = 1,564.21 : x
  2. Step 2: Convert to fraction form
    2,682.50/3,701.87 = 1,564.21/x
  3. Step 3: Cross multiply
    2,682.50x = 3,701.87 × 1,564.21
  4. Step 4: Simplify right side
    2,682.50x = 5,790,502.07
  5. Step 5: Solve for x
    x = 5,790,502.07/2,682.50
  6. Step 6: Final answer
    x = 2,158.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.