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Finding the Fourth Proportional to 2,393.46, 3,590.19 and 662.04

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Solution

The fourth proportional to 2,393.46, 3,590.19 and 662.04 is: 993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.46 : 3,590.19 = 662.04 : x
  2. Step 2: Convert to fraction form
    2,393.46/3,590.19 = 662.04/x
  3. Step 3: Cross multiply
    2,393.46x = 3,590.19 × 662.04
  4. Step 4: Simplify right side
    2,393.46x = 2,376,849.39
  5. Step 5: Solve for x
    x = 2,376,849.39/2,393.46
  6. Step 6: Final answer
    x = 993.06

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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.