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Finding the Fourth Proportional to 2,431.12, 3,647.48 and 970.64

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Solution

The fourth proportional to 2,431.12, 3,647.48 and 970.64 is: 1,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.12 : 3,647.48 = 970.64 : x
  2. Step 2: Convert to fraction form
    2,431.12/3,647.48 = 970.64/x
  3. Step 3: Cross multiply
    2,431.12x = 3,647.48 × 970.64
  4. Step 4: Simplify right side
    2,431.12x = 3,540,389.99
  5. Step 5: Solve for x
    x = 3,540,389.99/2,431.12
  6. Step 6: Final answer
    x = 1,456.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.