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Finding the Fourth Proportional to 2,614.02, 3,922.56 and 971.72

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Solution

The fourth proportional to 2,614.02, 3,922.56 and 971.72 is: 1,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.02 : 3,922.56 = 971.72 : x
  2. Step 2: Convert to fraction form
    2,614.02/3,922.56 = 971.72/x
  3. Step 3: Cross multiply
    2,614.02x = 3,922.56 × 971.72
  4. Step 4: Simplify right side
    2,614.02x = 3,811,630.00
  5. Step 5: Solve for x
    x = 3,811,630.00/2,614.02
  6. Step 6: Final answer
    x = 1,458.15

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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.