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Finding the Fourth Proportional to 2,431.56, 3,647.34 and 970.72

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Solution

The fourth proportional to 2,431.56, 3,647.34 and 970.72 is: 1,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.56 : 3,647.34 = 970.72 : x
  2. Step 2: Convert to fraction form
    2,431.56/3,647.34 = 970.72/x
  3. Step 3: Cross multiply
    2,431.56x = 3,647.34 × 970.72
  4. Step 4: Simplify right side
    2,431.56x = 3,540,545.88
  5. Step 5: Solve for x
    x = 3,540,545.88/2,431.56
  6. Step 6: Final answer
    x = 1,456.08

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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.