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Finding the Fourth Proportional to 2,433.02, 3,647.73 and 971.06

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Solution

The fourth proportional to 2,433.02, 3,647.73 and 971.06 is: 1,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.02 : 3,647.73 = 971.06 : x
  2. Step 2: Convert to fraction form
    2,433.02/3,647.73 = 971.06/x
  3. Step 3: Cross multiply
    2,433.02x = 3,647.73 × 971.06
  4. Step 4: Simplify right side
    2,433.02x = 3,542,164.69
  5. Step 5: Solve for x
    x = 3,542,164.69/2,433.02
  6. Step 6: Final answer
    x = 1,455.87

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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.