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Finding the Fourth Proportional to 1,606.50, 2,410.34 and 1,596.47

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Solution

The fourth proportional to 1,606.50, 2,410.34 and 1,596.47 is: 2,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.50 : 2,410.34 = 1,596.47 : x
  2. Step 2: Convert to fraction form
    1,606.50/2,410.34 = 1,596.47/x
  3. Step 3: Cross multiply
    1,606.50x = 2,410.34 × 1,596.47
  4. Step 4: Simplify right side
    1,606.50x = 3,848,015.47
  5. Step 5: Solve for x
    x = 3,848,015.47/1,606.50
  6. Step 6: Final answer
    x = 2,395.28

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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.