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Finding the Fourth Proportional to 3,105.50, 4,658.26 and 1,053.50

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Solution

The fourth proportional to 3,105.50, 4,658.26 and 1,053.50 is: 1,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.50 : 4,658.26 = 1,053.50 : x
  2. Step 2: Convert to fraction form
    3,105.50/4,658.26 = 1,053.50/x
  3. Step 3: Cross multiply
    3,105.50x = 4,658.26 × 1,053.50
  4. Step 4: Simplify right side
    3,105.50x = 4,907,476.91
  5. Step 5: Solve for x
    x = 4,907,476.91/3,105.50
  6. Step 6: Final answer
    x = 1,580.25

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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.