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Finding the Fourth Proportional to 1,684.25, 2,526.89 and 863.11

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Solution

The fourth proportional to 1,684.25, 2,526.89 and 863.11 is: 1,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.25 : 2,526.89 = 863.11 : x
  2. Step 2: Convert to fraction form
    1,684.25/2,526.89 = 863.11/x
  3. Step 3: Cross multiply
    1,684.25x = 2,526.89 × 863.11
  4. Step 4: Simplify right side
    1,684.25x = 2,180,967.08
  5. Step 5: Solve for x
    x = 2,180,967.08/1,684.25
  6. Step 6: Final answer
    x = 1,294.92

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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.