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Finding the Fourth Proportional to 1,684.14, 2,526.57 and 818.94

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Solution

The fourth proportional to 1,684.14, 2,526.57 and 818.94 is: 1,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.14 : 2,526.57 = 818.94 : x
  2. Step 2: Convert to fraction form
    1,684.14/2,526.57 = 818.94/x
  3. Step 3: Cross multiply
    1,684.14x = 2,526.57 × 818.94
  4. Step 4: Simplify right side
    1,684.14x = 2,069,109.24
  5. Step 5: Solve for x
    x = 2,069,109.24/1,684.14
  6. Step 6: Final answer
    x = 1,228.59

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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.