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Finding the Fourth Proportional to 1,608.14, 2,410.44 and 913.31

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Solution

The fourth proportional to 1,608.14, 2,410.44 and 913.31 is: 1,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.14 : 2,410.44 = 913.31 : x
  2. Step 2: Convert to fraction form
    1,608.14/2,410.44 = 913.31/x
  3. Step 3: Cross multiply
    1,608.14x = 2,410.44 × 913.31
  4. Step 4: Simplify right side
    1,608.14x = 2,201,478.96
  5. Step 5: Solve for x
    x = 2,201,478.96/1,608.14
  6. Step 6: Final answer
    x = 1,368.96

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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.