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Finding the Fourth Proportional to 2,033.53, 2,806.12 and 1,149.42

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Solution

The fourth proportional to 2,033.53, 2,806.12 and 1,149.42 is: 1,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.53 : 2,806.12 = 1,149.42 : x
  2. Step 2: Convert to fraction form
    2,033.53/2,806.12 = 1,149.42/x
  3. Step 3: Cross multiply
    2,033.53x = 2,806.12 × 1,149.42
  4. Step 4: Simplify right side
    2,033.53x = 3,225,410.45
  5. Step 5: Solve for x
    x = 3,225,410.45/2,033.53
  6. Step 6: Final answer
    x = 1,586.11

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Why These Related Problems?

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