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Finding the Fourth Proportional to 3,072.37, 4,606.71 and 1,223.77

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Solution

The fourth proportional to 3,072.37, 4,606.71 and 1,223.77 is: 1,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.37 : 4,606.71 = 1,223.77 : x
  2. Step 2: Convert to fraction form
    3,072.37/4,606.71 = 1,223.77/x
  3. Step 3: Cross multiply
    3,072.37x = 4,606.71 × 1,223.77
  4. Step 4: Simplify right side
    3,072.37x = 5,637,553.50
  5. Step 5: Solve for x
    x = 5,637,553.50/3,072.37
  6. Step 6: Final answer
    x = 1,834.92

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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.