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Finding the Fourth Proportional to 2,446.78, 3,670.98 and 1,522.98

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Solution

The fourth proportional to 2,446.78, 3,670.98 and 1,522.98 is: 2,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.78 : 3,670.98 = 1,522.98 : x
  2. Step 2: Convert to fraction form
    2,446.78/3,670.98 = 1,522.98/x
  3. Step 3: Cross multiply
    2,446.78x = 3,670.98 × 1,522.98
  4. Step 4: Simplify right side
    2,446.78x = 5,590,829.12
  5. Step 5: Solve for x
    x = 5,590,829.12/2,446.78
  6. Step 6: Final answer
    x = 2,284.97

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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.