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Finding the Fourth Proportional to 1,654.03, 2,469.21 and 1,596.32

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Solution

The fourth proportional to 1,654.03, 2,469.21 and 1,596.32 is: 2,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.03 : 2,469.21 = 1,596.32 : x
  2. Step 2: Convert to fraction form
    1,654.03/2,469.21 = 1,596.32/x
  3. Step 3: Cross multiply
    1,654.03x = 2,469.21 × 1,596.32
  4. Step 4: Simplify right side
    1,654.03x = 3,941,636.96
  5. Step 5: Solve for x
    x = 3,941,636.96/1,654.03
  6. Step 6: Final answer
    x = 2,383.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.