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Finding the Fourth Proportional to 3,109, 4,663.50 and 1,570

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Solution

The fourth proportional to 3,109, 4,663.50 and 1,570 is: 2,355

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109 : 4,663.50 = 1,570 : x
  2. Step 2: Convert to fraction form
    3,109/4,663.50 = 1,570/x
  3. Step 3: Cross multiply
    3,109x = 4,663.50 × 1,570
  4. Step 4: Simplify right side
    3,109x = 7,321,695
  5. Step 5: Solve for x
    x = 7,321,695/3,109
  6. Step 6: Final answer
    x = 2,355

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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.