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Finding the Fourth Proportional to 2,431.89, 3,647.84 and 971.06

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Solution

The fourth proportional to 2,431.89, 3,647.84 and 971.06 is: 1,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.89 : 3,647.84 = 971.06 : x
  2. Step 2: Convert to fraction form
    2,431.89/3,647.84 = 971.06/x
  3. Step 3: Cross multiply
    2,431.89x = 3,647.84 × 971.06
  4. Step 4: Simplify right side
    2,431.89x = 3,542,248.42
  5. Step 5: Solve for x
    x = 3,542,248.42/2,431.89
  6. Step 6: Final answer
    x = 1,456.58

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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.