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Finding the Fourth Proportional to 1,336.53, 2,000.85 and 874.53

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Solution

The fourth proportional to 1,336.53, 2,000.85 and 874.53 is: 1,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.53 : 2,000.85 = 874.53 : x
  2. Step 2: Convert to fraction form
    1,336.53/2,000.85 = 874.53/x
  3. Step 3: Cross multiply
    1,336.53x = 2,000.85 × 874.53
  4. Step 4: Simplify right side
    1,336.53x = 1,749,804.99
  5. Step 5: Solve for x
    x = 1,749,804.99/1,336.53
  6. Step 6: Final answer
    x = 1,309.21

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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.