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Finding the Fourth Proportional to 2,394.84, 3,592.16 and 663.42

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Solution

The fourth proportional to 2,394.84, 3,592.16 and 663.42 is: 995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.84 : 3,592.16 = 663.42 : x
  2. Step 2: Convert to fraction form
    2,394.84/3,592.16 = 663.42/x
  3. Step 3: Cross multiply
    2,394.84x = 3,592.16 × 663.42
  4. Step 4: Simplify right side
    2,394.84x = 2,383,110.79
  5. Step 5: Solve for x
    x = 2,383,110.79/2,394.84
  6. Step 6: Final answer
    x = 995.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.