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Finding the Fourth Proportional to 2,049.66, 3,072.67 and 750.83

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Solution

The fourth proportional to 2,049.66, 3,072.67 and 750.83 is: 1,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.66 : 3,072.67 = 750.83 : x
  2. Step 2: Convert to fraction form
    2,049.66/3,072.67 = 750.83/x
  3. Step 3: Cross multiply
    2,049.66x = 3,072.67 × 750.83
  4. Step 4: Simplify right side
    2,049.66x = 2,307,038.01
  5. Step 5: Solve for x
    x = 2,307,038.01/2,049.66
  6. Step 6: Final answer
    x = 1,125.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.