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Finding the Fourth Proportional to 1,654.12, 2,282.48 and 936.19

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Solution

The fourth proportional to 1,654.12, 2,282.48 and 936.19 is: 1,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.12 : 2,282.48 = 936.19 : x
  2. Step 2: Convert to fraction form
    1,654.12/2,282.48 = 936.19/x
  3. Step 3: Cross multiply
    1,654.12x = 2,282.48 × 936.19
  4. Step 4: Simplify right side
    1,654.12x = 2,136,836.63
  5. Step 5: Solve for x
    x = 2,136,836.63/1,654.12
  6. Step 6: Final answer
    x = 1,291.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.