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Finding the Fourth Proportional to 2,394, 3,590.84 and 662.64

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Solution

The fourth proportional to 2,394, 3,590.84 and 662.64 is: 993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394 : 3,590.84 = 662.64 : x
  2. Step 2: Convert to fraction form
    2,394/3,590.84 = 662.64/x
  3. Step 3: Cross multiply
    2,394x = 3,590.84 × 662.64
  4. Step 4: Simplify right side
    2,394x = 2,379,434.22
  5. Step 5: Solve for x
    x = 2,379,434.22/2,394
  6. Step 6: Final answer
    x = 993.92

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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.