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Finding the Fourth Proportional to 1,608.55, 2,416.88 and 1,023.82

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Solution

The fourth proportional to 1,608.55, 2,416.88 and 1,023.82 is: 1,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.55 : 2,416.88 = 1,023.82 : x
  2. Step 2: Convert to fraction form
    1,608.55/2,416.88 = 1,023.82/x
  3. Step 3: Cross multiply
    1,608.55x = 2,416.88 × 1,023.82
  4. Step 4: Simplify right side
    1,608.55x = 2,474,450.08
  5. Step 5: Solve for x
    x = 2,474,450.08/1,608.55
  6. Step 6: Final answer
    x = 1,538.31

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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.