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Finding the Fourth Proportional to 1,647.12, 2,469.10 and 953.16

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Solution

The fourth proportional to 1,647.12, 2,469.10 and 953.16 is: 1,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.12 : 2,469.10 = 953.16 : x
  2. Step 2: Convert to fraction form
    1,647.12/2,469.10 = 953.16/x
  3. Step 3: Cross multiply
    1,647.12x = 2,469.10 × 953.16
  4. Step 4: Simplify right side
    1,647.12x = 2,353,447.36
  5. Step 5: Solve for x
    x = 2,353,447.36/1,647.12
  6. Step 6: Final answer
    x = 1,428.83

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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.